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Finding the Third Proportional to 42,742 and 98,940

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Solution

The third proportional to 42,742 and 98,940 is: 229,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742 : 98,940 = 98,940 : x
  2. Step 2: Convert to fraction form
    42,742/98,940 = 98,940/x
  3. Step 3: Cross multiply
    42,742x = 98,940 × 98,940
  4. Step 4: Simplify right side
    42,742x = 9,789,123,600
  5. Step 5: Solve for x
    x = 9,789,123,600/42,742
  6. Step 6: Final answer
    x = 229,028.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.