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Finding the Third Proportional to 65,167.75 and 142,791

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Solution

The third proportional to 65,167.75 and 142,791 is: 312,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.75 : 142,791 = 142,791 : x
  2. Step 2: Convert to fraction form
    65,167.75/142,791 = 142,791/x
  3. Step 3: Cross multiply
    65,167.75x = 142,791 × 142,791
  4. Step 4: Simplify right side
    65,167.75x = 20,389,269,681
  5. Step 5: Solve for x
    x = 20,389,269,681/65,167.75
  6. Step 6: Final answer
    x = 312,873.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.