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Finding the Third Proportional to 57,049 and 88,796

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Solution

The third proportional to 57,049 and 88,796 is: 138,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049 : 88,796 = 88,796 : x
  2. Step 2: Convert to fraction form
    57,049/88,796 = 88,796/x
  3. Step 3: Cross multiply
    57,049x = 88,796 × 88,796
  4. Step 4: Simplify right side
    57,049x = 7,884,729,616
  5. Step 5: Solve for x
    x = 7,884,729,616/57,049
  6. Step 6: Final answer
    x = 138,209.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.