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Finding the Third Proportional to 67,294.13 and 98,020.13

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Solution

The third proportional to 67,294.13 and 98,020.13 is: 142,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,294.13 : 98,020.13 = 98,020.13 : x
  2. Step 2: Convert to fraction form
    67,294.13/98,020.13 = 98,020.13/x
  3. Step 3: Cross multiply
    67,294.13x = 98,020.13 × 98,020.13
  4. Step 4: Simplify right side
    67,294.13x = 9,607,944,905.02
  5. Step 5: Solve for x
    x = 9,607,944,905.02/67,294.13
  6. Step 6: Final answer
    x = 142,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.