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Finding the Third Proportional to 126,339 and 272,262

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Solution

The third proportional to 126,339 and 272,262 is: 586,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,339 : 272,262 = 272,262 : x
  2. Step 2: Convert to fraction form
    126,339/272,262 = 272,262/x
  3. Step 3: Cross multiply
    126,339x = 272,262 × 272,262
  4. Step 4: Simplify right side
    126,339x = 74,126,596,644
  5. Step 5: Solve for x
    x = 74,126,596,644/126,339
  6. Step 6: Final answer
    x = 586,727.75

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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.