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Finding the Third Proportional to 39,964.50 and 86,158.50

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Solution

The third proportional to 39,964.50 and 86,158.50 is: 185,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,964.50 : 86,158.50 = 86,158.50 : x
  2. Step 2: Convert to fraction form
    39,964.50/86,158.50 = 86,158.50/x
  3. Step 3: Cross multiply
    39,964.50x = 86,158.50 × 86,158.50
  4. Step 4: Simplify right side
    39,964.50x = 7,423,287,122.25
  5. Step 5: Solve for x
    x = 7,423,287,122.25/39,964.50
  6. Step 6: Final answer
    x = 185,747.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.