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Finding the Third Proportional to 83,502 and 129,141

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Solution

The third proportional to 83,502 and 129,141 is: 199,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502 : 129,141 = 129,141 : x
  2. Step 2: Convert to fraction form
    83,502/129,141 = 129,141/x
  3. Step 3: Cross multiply
    83,502x = 129,141 × 129,141
  4. Step 4: Simplify right side
    83,502x = 16,677,397,881
  5. Step 5: Solve for x
    x = 16,677,397,881/83,502
  6. Step 6: Final answer
    x = 199,724.53

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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.