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Finding the Third Proportional to 72,098 and 96,441

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Solution

The third proportional to 72,098 and 96,441 is: 129,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,098 : 96,441 = 96,441 : x
  2. Step 2: Convert to fraction form
    72,098/96,441 = 96,441/x
  3. Step 3: Cross multiply
    72,098x = 96,441 × 96,441
  4. Step 4: Simplify right side
    72,098x = 9,300,866,481
  5. Step 5: Solve for x
    x = 9,300,866,481/72,098
  6. Step 6: Final answer
    x = 129,003.11

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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.