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Finding the Third Proportional to 83,505 and 129,315

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Solution

The third proportional to 83,505 and 129,315 is: 200,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,505 : 129,315 = 129,315 : x
  2. Step 2: Convert to fraction form
    83,505/129,315 = 129,315/x
  3. Step 3: Cross multiply
    83,505x = 129,315 × 129,315
  4. Step 4: Simplify right side
    83,505x = 16,722,369,225
  5. Step 5: Solve for x
    x = 16,722,369,225/83,505
  6. Step 6: Final answer
    x = 200,255.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.