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Finding the Third Proportional to 57,498 and 125,724

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Solution

The third proportional to 57,498 and 125,724 is: 274,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498 : 125,724 = 125,724 : x
  2. Step 2: Convert to fraction form
    57,498/125,724 = 125,724/x
  3. Step 3: Cross multiply
    57,498x = 125,724 × 125,724
  4. Step 4: Simplify right side
    57,498x = 15,806,524,176
  5. Step 5: Solve for x
    x = 15,806,524,176/57,498
  6. Step 6: Final answer
    x = 274,905.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.