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Finding the Third Proportional to 124,112.25 and 267,902.25

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Solution

The third proportional to 124,112.25 and 267,902.25 is: 578,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,112.25 : 267,902.25 = 267,902.25 : x
  2. Step 2: Convert to fraction form
    124,112.25/267,902.25 = 267,902.25/x
  3. Step 3: Cross multiply
    124,112.25x = 267,902.25 × 267,902.25
  4. Step 4: Simplify right side
    124,112.25x = 71,771,615,555.06
  5. Step 5: Solve for x
    x = 71,771,615,555.06/124,112.25
  6. Step 6: Final answer
    x = 578,279.87

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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.