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Finding the Third Proportional to 73,538 and 98,616

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Solution

The third proportional to 73,538 and 98,616 is: 132,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,538 : 98,616 = 98,616 : x
  2. Step 2: Convert to fraction form
    73,538/98,616 = 98,616/x
  3. Step 3: Cross multiply
    73,538x = 98,616 × 98,616
  4. Step 4: Simplify right side
    73,538x = 9,725,115,456
  5. Step 5: Solve for x
    x = 9,725,115,456/73,538
  6. Step 6: Final answer
    x = 132,246.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.