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Finding the Third Proportional to 59,427 and 126,870

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Solution

The third proportional to 59,427 and 126,870 is: 270,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 126,870 = 126,870 : x
  2. Step 2: Convert to fraction form
    59,427/126,870 = 126,870/x
  3. Step 3: Cross multiply
    59,427x = 126,870 × 126,870
  4. Step 4: Simplify right side
    59,427x = 16,095,996,900
  5. Step 5: Solve for x
    x = 16,095,996,900/59,427
  6. Step 6: Final answer
    x = 270,853.26

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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.