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Finding the Third Proportional to 124,542.56 and 257,947.03

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Solution

The third proportional to 124,542.56 and 257,947.03 is: 534,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542.56 : 257,947.03 = 257,947.03 : x
  2. Step 2: Convert to fraction form
    124,542.56/257,947.03 = 257,947.03/x
  3. Step 3: Cross multiply
    124,542.56x = 257,947.03 × 257,947.03
  4. Step 4: Simplify right side
    124,542.56x = 66,536,670,930.69
  5. Step 5: Solve for x
    x = 66,536,670,930.69/124,542.56
  6. Step 6: Final answer
    x = 534,248.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.