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Finding the Third Proportional to 66,046.50 and 142,617

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Solution

The third proportional to 66,046.50 and 142,617 is: 307,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,046.50 : 142,617 = 142,617 : x
  2. Step 2: Convert to fraction form
    66,046.50/142,617 = 142,617/x
  3. Step 3: Cross multiply
    66,046.50x = 142,617 × 142,617
  4. Step 4: Simplify right side
    66,046.50x = 20,339,608,689
  5. Step 5: Solve for x
    x = 20,339,608,689/66,046.50
  6. Step 6: Final answer
    x = 307,958.92

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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.