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Finding the Third Proportional to 83,292 and 124,802

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Solution

The third proportional to 83,292 and 124,802 is: 186,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 124,802 = 124,802 : x
  2. Step 2: Convert to fraction form
    83,292/124,802 = 124,802/x
  3. Step 3: Cross multiply
    83,292x = 124,802 × 124,802
  4. Step 4: Simplify right side
    83,292x = 15,575,539,204
  5. Step 5: Solve for x
    x = 15,575,539,204/83,292
  6. Step 6: Final answer
    x = 186,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.