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Finding the Third Proportional to 65,165.50 and 142,805

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Solution

The third proportional to 65,165.50 and 142,805 is: 312,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.50 : 142,805 = 142,805 : x
  2. Step 2: Convert to fraction form
    65,165.50/142,805 = 142,805/x
  3. Step 3: Cross multiply
    65,165.50x = 142,805 × 142,805
  4. Step 4: Simplify right side
    65,165.50x = 20,393,268,025
  5. Step 5: Solve for x
    x = 20,393,268,025/65,165.50
  6. Step 6: Final answer
    x = 312,945.78

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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.