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Finding the Third Proportional to 59,418 and 126,854

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Solution

The third proportional to 59,418 and 126,854 is: 270,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,418 : 126,854 = 126,854 : x
  2. Step 2: Convert to fraction form
    59,418/126,854 = 126,854/x
  3. Step 3: Cross multiply
    59,418x = 126,854 × 126,854
  4. Step 4: Simplify right side
    59,418x = 16,091,937,316
  5. Step 5: Solve for x
    x = 16,091,937,316/59,418
  6. Step 6: Final answer
    x = 270,825.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.