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Finding the Third Proportional to 57,692 and 124,312

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Solution

The third proportional to 57,692 and 124,312 is: 267,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692 : 124,312 = 124,312 : x
  2. Step 2: Convert to fraction form
    57,692/124,312 = 124,312/x
  3. Step 3: Cross multiply
    57,692x = 124,312 × 124,312
  4. Step 4: Simplify right side
    57,692x = 15,453,473,344
  5. Step 5: Solve for x
    x = 15,453,473,344/57,692
  6. Step 6: Final answer
    x = 267,861.63

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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.