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Finding the Third Proportional to 57,498 and 125,121

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Solution

The third proportional to 57,498 and 125,121 is: 272,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498 : 125,121 = 125,121 : x
  2. Step 2: Convert to fraction form
    57,498/125,121 = 125,121/x
  3. Step 3: Cross multiply
    57,498x = 125,121 × 125,121
  4. Step 4: Simplify right side
    57,498x = 15,655,264,641
  5. Step 5: Solve for x
    x = 15,655,264,641/57,498
  6. Step 6: Final answer
    x = 272,274.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.