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Finding the Third Proportional to 59,427 and 123,747.75

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Solution

The third proportional to 59,427 and 123,747.75 is: 257,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 123,747.75 = 123,747.75 : x
  2. Step 2: Convert to fraction form
    59,427/123,747.75 = 123,747.75/x
  3. Step 3: Cross multiply
    59,427x = 123,747.75 × 123,747.75
  4. Step 4: Simplify right side
    59,427x = 15,313,505,630.06
  5. Step 5: Solve for x
    x = 15,313,505,630.06/59,427
  6. Step 6: Final answer
    x = 257,686.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.