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Finding the Third Proportional to 127,524 and 272,400

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Solution

The third proportional to 127,524 and 272,400 is: 581,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,524 : 272,400 = 272,400 : x
  2. Step 2: Convert to fraction form
    127,524/272,400 = 272,400/x
  3. Step 3: Cross multiply
    127,524x = 272,400 × 272,400
  4. Step 4: Simplify right side
    127,524x = 74,201,760,000
  5. Step 5: Solve for x
    x = 74,201,760,000/127,524
  6. Step 6: Final answer
    x = 581,865.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.