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Finding the Third Proportional to 74,000.25 and 100,365.75

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Solution

The third proportional to 74,000.25 and 100,365.75 is: 136,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.25 : 100,365.75 = 100,365.75 : x
  2. Step 2: Convert to fraction form
    74,000.25/100,365.75 = 100,365.75/x
  3. Step 3: Cross multiply
    74,000.25x = 100,365.75 × 100,365.75
  4. Step 4: Simplify right side
    74,000.25x = 10,073,283,773.06
  5. Step 5: Solve for x
    x = 10,073,283,773.06/74,000.25
  6. Step 6: Final answer
    x = 136,125.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.