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Finding the Third Proportional to 126,618 and 267,466

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Solution

The third proportional to 126,618 and 267,466 is: 564,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,618 : 267,466 = 267,466 : x
  2. Step 2: Convert to fraction form
    126,618/267,466 = 267,466/x
  3. Step 3: Cross multiply
    126,618x = 267,466 × 267,466
  4. Step 4: Simplify right side
    126,618x = 71,538,061,156
  5. Step 5: Solve for x
    x = 71,538,061,156/126,618
  6. Step 6: Final answer
    x = 564,991.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.