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Finding the Third Proportional to 83,316 and 129,042

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Solution

The third proportional to 83,316 and 129,042 is: 199,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316 : 129,042 = 129,042 : x
  2. Step 2: Convert to fraction form
    83,316/129,042 = 129,042/x
  3. Step 3: Cross multiply
    83,316x = 129,042 × 129,042
  4. Step 4: Simplify right side
    83,316x = 16,651,837,764
  5. Step 5: Solve for x
    x = 16,651,837,764/83,316
  6. Step 6: Final answer
    x = 199,863.62

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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.