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Finding the Third Proportional to 83,350 and 129,095

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Solution

The third proportional to 83,350 and 129,095 is: 199,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,350 : 129,095 = 129,095 : x
  2. Step 2: Convert to fraction form
    83,350/129,095 = 129,095/x
  3. Step 3: Cross multiply
    83,350x = 129,095 × 129,095
  4. Step 4: Simplify right side
    83,350x = 16,665,519,025
  5. Step 5: Solve for x
    x = 16,665,519,025/83,350
  6. Step 6: Final answer
    x = 199,946.24

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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.