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Finding the Third Proportional to 59,008 and 127,439

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Solution

The third proportional to 59,008 and 127,439 is: 275,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,008 : 127,439 = 127,439 : x
  2. Step 2: Convert to fraction form
    59,008/127,439 = 127,439/x
  3. Step 3: Cross multiply
    59,008x = 127,439 × 127,439
  4. Step 4: Simplify right side
    59,008x = 16,240,698,721
  5. Step 5: Solve for x
    x = 16,240,698,721/59,008
  6. Step 6: Final answer
    x = 275,228.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.