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Finding the Third Proportional to 42,076.13 and 88,981.88

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Solution

The third proportional to 42,076.13 and 88,981.88 is: 188,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,076.13 : 88,981.88 = 88,981.88 : x
  2. Step 2: Convert to fraction form
    42,076.13/88,981.88 = 88,981.88/x
  3. Step 3: Cross multiply
    42,076.13x = 88,981.88 × 88,981.88
  4. Step 4: Simplify right side
    42,076.13x = 7,917,774,078.52
  5. Step 5: Solve for x
    x = 7,917,774,078.52/42,076.13
  6. Step 6: Final answer
    x = 188,177.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.