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Finding the Third Proportional to 72,098 and 96,442

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Solution

The third proportional to 72,098 and 96,442 is: 129,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,098 : 96,442 = 96,442 : x
  2. Step 2: Convert to fraction form
    72,098/96,442 = 96,442/x
  3. Step 3: Cross multiply
    72,098x = 96,442 × 96,442
  4. Step 4: Simplify right side
    72,098x = 9,301,059,364
  5. Step 5: Solve for x
    x = 9,301,059,364/72,098
  6. Step 6: Final answer
    x = 129,005.79

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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.