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Finding the Third Proportional to 61,145.38 and 91,436.75

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Solution

The third proportional to 61,145.38 and 91,436.75 is: 136,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,145.38 : 91,436.75 = 91,436.75 : x
  2. Step 2: Convert to fraction form
    61,145.38/91,436.75 = 91,436.75/x
  3. Step 3: Cross multiply
    61,145.38x = 91,436.75 × 91,436.75
  4. Step 4: Simplify right side
    61,145.38x = 8,360,679,250.56
  5. Step 5: Solve for x
    x = 8,360,679,250.56/61,145.38
  6. Step 6: Final answer
    x = 136,734.45

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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.