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Finding the Third Proportional to 124,114 and 267,908

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Solution

The third proportional to 124,114 and 267,908 is: 578,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,114 : 267,908 = 267,908 : x
  2. Step 2: Convert to fraction form
    124,114/267,908 = 267,908/x
  3. Step 3: Cross multiply
    124,114x = 267,908 × 267,908
  4. Step 4: Simplify right side
    124,114x = 71,774,696,464
  5. Step 5: Solve for x
    x = 71,774,696,464/124,114
  6. Step 6: Final answer
    x = 578,296.54

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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.