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Finding the Third Proportional to 58,561 and 127,814

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Solution

The third proportional to 58,561 and 127,814 is: 278,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,561 : 127,814 = 127,814 : x
  2. Step 2: Convert to fraction form
    58,561/127,814 = 127,814/x
  3. Step 3: Cross multiply
    58,561x = 127,814 × 127,814
  4. Step 4: Simplify right side
    58,561x = 16,336,418,596
  5. Step 5: Solve for x
    x = 16,336,418,596/58,561
  6. Step 6: Final answer
    x = 278,964.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.