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Finding the Third Proportional to 125,712 and 268,272

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Solution

The third proportional to 125,712 and 268,272 is: 572,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,712 : 268,272 = 268,272 : x
  2. Step 2: Convert to fraction form
    125,712/268,272 = 268,272/x
  3. Step 3: Cross multiply
    125,712x = 268,272 × 268,272
  4. Step 4: Simplify right side
    125,712x = 71,969,865,984
  5. Step 5: Solve for x
    x = 71,969,865,984/125,712
  6. Step 6: Final answer
    x = 572,497.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.