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Finding the Third Proportional to 42,318 and 100,259.50

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Solution

The third proportional to 42,318 and 100,259.50 is: 237,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,318 : 100,259.50 = 100,259.50 : x
  2. Step 2: Convert to fraction form
    42,318/100,259.50 = 100,259.50/x
  3. Step 3: Cross multiply
    42,318x = 100,259.50 × 100,259.50
  4. Step 4: Simplify right side
    42,318x = 10,051,967,340.25
  5. Step 5: Solve for x
    x = 10,051,967,340.25/42,318
  6. Step 6: Final answer
    x = 237,534.08

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.