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Finding the Third Proportional to 91,433 and 137,150

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Solution

The third proportional to 91,433 and 137,150 is: 205,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,433 : 137,150 = 137,150 : x
  2. Step 2: Convert to fraction form
    91,433/137,150 = 137,150/x
  3. Step 3: Cross multiply
    91,433x = 137,150 × 137,150
  4. Step 4: Simplify right side
    91,433x = 18,810,122,500
  5. Step 5: Solve for x
    x = 18,810,122,500/91,433
  6. Step 6: Final answer
    x = 205,725.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.