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Finding the Third Proportional to 124,876 and 267,618

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Solution

The third proportional to 124,876 and 267,618 is: 573,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,876 : 267,618 = 267,618 : x
  2. Step 2: Convert to fraction form
    124,876/267,618 = 267,618/x
  3. Step 3: Cross multiply
    124,876x = 267,618 × 267,618
  4. Step 4: Simplify right side
    124,876x = 71,619,393,924
  5. Step 5: Solve for x
    x = 71,619,393,924/124,876
  6. Step 6: Final answer
    x = 573,524.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.