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Finding the Third Proportional to 90,578.25 and 130,642.88

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Solution

The third proportional to 90,578.25 and 130,642.88 is: 188,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,578.25 : 130,642.88 = 130,642.88 : x
  2. Step 2: Convert to fraction form
    90,578.25/130,642.88 = 130,642.88/x
  3. Step 3: Cross multiply
    90,578.25x = 130,642.88 × 130,642.88
  4. Step 4: Simplify right side
    90,578.25x = 17,067,560,788.27
  5. Step 5: Solve for x
    x = 17,067,560,788.27/90,578.25
  6. Step 6: Final answer
    x = 188,428.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.