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Finding the Third Proportional to 57,552 and 122,552

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Solution

The third proportional to 57,552 and 122,552 is: 260,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,552 : 122,552 = 122,552 : x
  2. Step 2: Convert to fraction form
    57,552/122,552 = 122,552/x
  3. Step 3: Cross multiply
    57,552x = 122,552 × 122,552
  4. Step 4: Simplify right side
    57,552x = 15,018,992,704
  5. Step 5: Solve for x
    x = 15,018,992,704/57,552
  6. Step 6: Final answer
    x = 260,963.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.