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Finding the Third Proportional to 41,044 and 88,366

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Solution

The third proportional to 41,044 and 88,366 is: 190,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,044 : 88,366 = 88,366 : x
  2. Step 2: Convert to fraction form
    41,044/88,366 = 88,366/x
  3. Step 3: Cross multiply
    41,044x = 88,366 × 88,366
  4. Step 4: Simplify right side
    41,044x = 7,808,549,956
  5. Step 5: Solve for x
    x = 7,808,549,956/41,044
  6. Step 6: Final answer
    x = 190,248.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.