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Finding the Third Proportional to 39,534.75 and 86,167.13

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Solution

The third proportional to 39,534.75 and 86,167.13 is: 187,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534.75 : 86,167.13 = 86,167.13 : x
  2. Step 2: Convert to fraction form
    39,534.75/86,167.13 = 86,167.13/x
  3. Step 3: Cross multiply
    39,534.75x = 86,167.13 × 86,167.13
  4. Step 4: Simplify right side
    39,534.75x = 7,424,773,430.77
  5. Step 5: Solve for x
    x = 7,424,773,430.77/39,534.75
  6. Step 6: Final answer
    x = 187,803.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.