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Finding the Third Proportional to 127,424 and 270,040

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Solution

The third proportional to 127,424 and 270,040 is: 572,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424 : 270,040 = 270,040 : x
  2. Step 2: Convert to fraction form
    127,424/270,040 = 270,040/x
  3. Step 3: Cross multiply
    127,424x = 270,040 × 270,040
  4. Step 4: Simplify right side
    127,424x = 72,921,601,600
  5. Step 5: Solve for x
    x = 72,921,601,600/127,424
  6. Step 6: Final answer
    x = 572,275.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.