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Finding the Third Proportional to 66,614.25 and 142,725

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Solution

The third proportional to 66,614.25 and 142,725 is: 305,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,614.25 : 142,725 = 142,725 : x
  2. Step 2: Convert to fraction form
    66,614.25/142,725 = 142,725/x
  3. Step 3: Cross multiply
    66,614.25x = 142,725 × 142,725
  4. Step 4: Simplify right side
    66,614.25x = 20,370,425,625
  5. Step 5: Solve for x
    x = 20,370,425,625/66,614.25
  6. Step 6: Final answer
    x = 305,796.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.