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Finding the Third Proportional to 67,902 and 89,298

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Solution

The third proportional to 67,902 and 89,298 is: 117,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,902 : 89,298 = 89,298 : x
  2. Step 2: Convert to fraction form
    67,902/89,298 = 89,298/x
  3. Step 3: Cross multiply
    67,902x = 89,298 × 89,298
  4. Step 4: Simplify right side
    67,902x = 7,974,132,804
  5. Step 5: Solve for x
    x = 7,974,132,804/67,902
  6. Step 6: Final answer
    x = 117,435.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.