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Finding the Third Proportional to 124,884 and 267,633

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Solution

The third proportional to 124,884 and 267,633 is: 573,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,884 : 267,633 = 267,633 : x
  2. Step 2: Convert to fraction form
    124,884/267,633 = 267,633/x
  3. Step 3: Cross multiply
    124,884x = 267,633 × 267,633
  4. Step 4: Simplify right side
    124,884x = 71,627,422,689
  5. Step 5: Solve for x
    x = 71,627,422,689/124,884
  6. Step 6: Final answer
    x = 573,551.64

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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.