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Finding the Third Proportional to 74,895 and 105,344.81

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Solution

The third proportional to 74,895 and 105,344.81 is: 148,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,895 : 105,344.81 = 105,344.81 : x
  2. Step 2: Convert to fraction form
    74,895/105,344.81 = 105,344.81/x
  3. Step 3: Cross multiply
    74,895x = 105,344.81 × 105,344.81
  4. Step 4: Simplify right side
    74,895x = 11,097,529,520.66
  5. Step 5: Solve for x
    x = 11,097,529,520.66/74,895
  6. Step 6: Final answer
    x = 148,174.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.