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Finding the Third Proportional to 124,116.75 and 267,914.25

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Solution

The third proportional to 124,116.75 and 267,914.25 is: 578,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,116.75 : 267,914.25 = 267,914.25 : x
  2. Step 2: Convert to fraction form
    124,116.75/267,914.25 = 267,914.25/x
  3. Step 3: Cross multiply
    124,116.75x = 267,914.25 × 267,914.25
  4. Step 4: Simplify right side
    124,116.75x = 71,778,045,353.06
  5. Step 5: Solve for x
    x = 71,778,045,353.06/124,116.75
  6. Step 6: Final answer
    x = 578,310.71

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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.