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Finding the Third Proportional to 83,454 and 129,231

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Solution

The third proportional to 83,454 and 129,231 is: 200,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454 : 129,231 = 129,231 : x
  2. Step 2: Convert to fraction form
    83,454/129,231 = 129,231/x
  3. Step 3: Cross multiply
    83,454x = 129,231 × 129,231
  4. Step 4: Simplify right side
    83,454x = 16,700,651,361
  5. Step 5: Solve for x
    x = 16,700,651,361/83,454
  6. Step 6: Final answer
    x = 200,118.05

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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.