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Finding the Third Proportional to 83,070 and 125,469

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Solution

The third proportional to 83,070 and 125,469 is: 189,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070 : 125,469 = 125,469 : x
  2. Step 2: Convert to fraction form
    83,070/125,469 = 125,469/x
  3. Step 3: Cross multiply
    83,070x = 125,469 × 125,469
  4. Step 4: Simplify right side
    83,070x = 15,742,469,961
  5. Step 5: Solve for x
    x = 15,742,469,961/83,070
  6. Step 6: Final answer
    x = 189,508.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.