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Finding the Third Proportional to 40,680.56 and 84,435.75

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Solution

The third proportional to 40,680.56 and 84,435.75 is: 175,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,680.56 : 84,435.75 = 84,435.75 : x
  2. Step 2: Convert to fraction form
    40,680.56/84,435.75 = 84,435.75/x
  3. Step 3: Cross multiply
    40,680.56x = 84,435.75 × 84,435.75
  4. Step 4: Simplify right side
    40,680.56x = 7,129,395,878.06
  5. Step 5: Solve for x
    x = 7,129,395,878.06/40,680.56
  6. Step 6: Final answer
    x = 175,253.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.