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Finding the Third Proportional to 68,397.75 and 86,464.13

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Solution

The third proportional to 68,397.75 and 86,464.13 is: 109,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,397.75 : 86,464.13 = 86,464.13 : x
  2. Step 2: Convert to fraction form
    68,397.75/86,464.13 = 86,464.13/x
  3. Step 3: Cross multiply
    68,397.75x = 86,464.13 × 86,464.13
  4. Step 4: Simplify right side
    68,397.75x = 7,476,044,912.02
  5. Step 5: Solve for x
    x = 7,476,044,912.02/68,397.75
  6. Step 6: Final answer
    x = 109,302.50

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.