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Finding the Third Proportional to 101,522.25 and 154,671.75

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Solution

The third proportional to 101,522.25 and 154,671.75 is: 235,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.25 : 154,671.75 = 154,671.75 : x
  2. Step 2: Convert to fraction form
    101,522.25/154,671.75 = 154,671.75/x
  3. Step 3: Cross multiply
    101,522.25x = 154,671.75 × 154,671.75
  4. Step 4: Simplify right side
    101,522.25x = 23,923,350,248.06
  5. Step 5: Solve for x
    x = 23,923,350,248.06/101,522.25
  6. Step 6: Final answer
    x = 235,646.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.