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Finding the Third Proportional to 124,685 and 267,235

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Solution

The third proportional to 124,685 and 267,235 is: 572,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,685 : 267,235 = 267,235 : x
  2. Step 2: Convert to fraction form
    124,685/267,235 = 267,235/x
  3. Step 3: Cross multiply
    124,685x = 267,235 × 267,235
  4. Step 4: Simplify right side
    124,685x = 71,414,545,225
  5. Step 5: Solve for x
    x = 71,414,545,225/124,685
  6. Step 6: Final answer
    x = 572,759.72

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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.