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Finding the Third Proportional to 65,644.25 and 99,242.75

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Solution

The third proportional to 65,644.25 and 99,242.75 is: 150,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,644.25 : 99,242.75 = 99,242.75 : x
  2. Step 2: Convert to fraction form
    65,644.25/99,242.75 = 99,242.75/x
  3. Step 3: Cross multiply
    65,644.25x = 99,242.75 × 99,242.75
  4. Step 4: Simplify right side
    65,644.25x = 9,849,123,427.56
  5. Step 5: Solve for x
    x = 9,849,123,427.56/65,644.25
  6. Step 6: Final answer
    x = 150,037.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.