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Finding the Third Proportional to 63,667 and 86,158.50

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Solution

The third proportional to 63,667 and 86,158.50 is: 116,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,667 : 86,158.50 = 86,158.50 : x
  2. Step 2: Convert to fraction form
    63,667/86,158.50 = 86,158.50/x
  3. Step 3: Cross multiply
    63,667x = 86,158.50 × 86,158.50
  4. Step 4: Simplify right side
    63,667x = 7,423,287,122.25
  5. Step 5: Solve for x
    x = 7,423,287,122.25/63,667
  6. Step 6: Final answer
    x = 116,595.52

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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.