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Finding the Third Proportional to 124,548 and 267,237

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Solution

The third proportional to 124,548 and 267,237 is: 573,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,548 : 267,237 = 267,237 : x
  2. Step 2: Convert to fraction form
    124,548/267,237 = 267,237/x
  3. Step 3: Cross multiply
    124,548x = 267,237 × 267,237
  4. Step 4: Simplify right side
    124,548x = 71,415,614,169
  5. Step 5: Solve for x
    x = 71,415,614,169/124,548
  6. Step 6: Final answer
    x = 573,398.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.