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Finding the Third Proportional to 42,144 and 56,552

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Solution

The third proportional to 42,144 and 56,552 is: 75,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,144 : 56,552 = 56,552 : x
  2. Step 2: Convert to fraction form
    42,144/56,552 = 56,552/x
  3. Step 3: Cross multiply
    42,144x = 56,552 × 56,552
  4. Step 4: Simplify right side
    42,144x = 3,198,128,704
  5. Step 5: Solve for x
    x = 3,198,128,704/42,144
  6. Step 6: Final answer
    x = 75,885.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.