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Finding the Third Proportional to 83,045 and 124,446

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Solution

The third proportional to 83,045 and 124,446 is: 186,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045 : 124,446 = 124,446 : x
  2. Step 2: Convert to fraction form
    83,045/124,446 = 124,446/x
  3. Step 3: Cross multiply
    83,045x = 124,446 × 124,446
  4. Step 4: Simplify right side
    83,045x = 15,486,806,916
  5. Step 5: Solve for x
    x = 15,486,806,916/83,045
  6. Step 6: Final answer
    x = 186,486.93

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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.