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Finding the Third Proportional to 57,372 and 123,532

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Solution

The third proportional to 57,372 and 123,532 is: 265,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 123,532 = 123,532 : x
  2. Step 2: Convert to fraction form
    57,372/123,532 = 123,532/x
  3. Step 3: Cross multiply
    57,372x = 123,532 × 123,532
  4. Step 4: Simplify right side
    57,372x = 15,260,155,024
  5. Step 5: Solve for x
    x = 15,260,155,024/57,372
  6. Step 6: Final answer
    x = 265,986.11

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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.