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Finding the Third Proportional to 127,425 and 270,042

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Solution

The third proportional to 127,425 and 270,042 is: 572,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,425 : 270,042 = 270,042 : x
  2. Step 2: Convert to fraction form
    127,425/270,042 = 270,042/x
  3. Step 3: Cross multiply
    127,425x = 270,042 × 270,042
  4. Step 4: Simplify right side
    127,425x = 72,922,681,764
  5. Step 5: Solve for x
    x = 72,922,681,764/127,425
  6. Step 6: Final answer
    x = 572,279.24

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