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Finding the Third Proportional to 124,141 and 267,959

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Solution

The third proportional to 124,141 and 267,959 is: 578,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,141 : 267,959 = 267,959 : x
  2. Step 2: Convert to fraction form
    124,141/267,959 = 267,959/x
  3. Step 3: Cross multiply
    124,141x = 267,959 × 267,959
  4. Step 4: Simplify right side
    124,141x = 71,802,025,681
  5. Step 5: Solve for x
    x = 71,802,025,681/124,141
  6. Step 6: Final answer
    x = 578,390.91

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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.