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Finding the Third Proportional to 124,681 and 267,226

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Solution

The third proportional to 124,681 and 267,226 is: 572,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,681 : 267,226 = 267,226 : x
  2. Step 2: Convert to fraction form
    124,681/267,226 = 267,226/x
  3. Step 3: Cross multiply
    124,681x = 267,226 × 267,226
  4. Step 4: Simplify right side
    124,681x = 71,409,735,076
  5. Step 5: Solve for x
    x = 71,409,735,076/124,681
  6. Step 6: Final answer
    x = 572,739.51

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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.