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Finding the Third Proportional to 124,696 and 267,116

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Solution

The third proportional to 124,696 and 267,116 is: 572,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,696 : 267,116 = 267,116 : x
  2. Step 2: Convert to fraction form
    124,696/267,116 = 267,116/x
  3. Step 3: Cross multiply
    124,696x = 267,116 × 267,116
  4. Step 4: Simplify right side
    124,696x = 71,350,957,456
  5. Step 5: Solve for x
    x = 71,350,957,456/124,696
  6. Step 6: Final answer
    x = 572,199.25

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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.