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Finding the Third Proportional to 54,351 and 129,613.50

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Solution

The third proportional to 54,351 and 129,613.50 is: 309,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351 : 129,613.50 = 129,613.50 : x
  2. Step 2: Convert to fraction form
    54,351/129,613.50 = 129,613.50/x
  3. Step 3: Cross multiply
    54,351x = 129,613.50 × 129,613.50
  4. Step 4: Simplify right side
    54,351x = 16,799,659,382.25
  5. Step 5: Solve for x
    x = 16,799,659,382.25/54,351
  6. Step 6: Final answer
    x = 309,095.68

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.