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Finding the Third Proportional to 61,099.31 and 82,217.53

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Solution

The third proportional to 61,099.31 and 82,217.53 is: 110,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,099.31 : 82,217.53 = 82,217.53 : x
  2. Step 2: Convert to fraction form
    61,099.31/82,217.53 = 82,217.53/x
  3. Step 3: Cross multiply
    61,099.31x = 82,217.53 × 82,217.53
  4. Step 4: Simplify right side
    61,099.31x = 6,759,722,444.84
  5. Step 5: Solve for x
    x = 6,759,722,444.84/61,099.31
  6. Step 6: Final answer
    x = 110,635.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.