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Finding the Third Proportional to 59,555 and 127,747

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Solution

The third proportional to 59,555 and 127,747 is: 274,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,555 : 127,747 = 127,747 : x
  2. Step 2: Convert to fraction form
    59,555/127,747 = 127,747/x
  3. Step 3: Cross multiply
    59,555x = 127,747 × 127,747
  4. Step 4: Simplify right side
    59,555x = 16,319,296,009
  5. Step 5: Solve for x
    x = 16,319,296,009/59,555
  6. Step 6: Final answer
    x = 274,020.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.