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Finding the Third Proportional to 40,159.13 and 74,371.50

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Solution

The third proportional to 40,159.13 and 74,371.50 is: 137,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,159.13 : 74,371.50 = 74,371.50 : x
  2. Step 2: Convert to fraction form
    40,159.13/74,371.50 = 74,371.50/x
  3. Step 3: Cross multiply
    40,159.13x = 74,371.50 × 74,371.50
  4. Step 4: Simplify right side
    40,159.13x = 5,531,120,012.25
  5. Step 5: Solve for x
    x = 5,531,120,012.25/40,159.13
  6. Step 6: Final answer
    x = 137,730.09

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.