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Finding the Third Proportional to 91,343.25 and 136,642.50

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Solution

The third proportional to 91,343.25 and 136,642.50 is: 204,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,343.25 : 136,642.50 = 136,642.50 : x
  2. Step 2: Convert to fraction form
    91,343.25/136,642.50 = 136,642.50/x
  3. Step 3: Cross multiply
    91,343.25x = 136,642.50 × 136,642.50
  4. Step 4: Simplify right side
    91,343.25x = 18,671,172,806.25
  5. Step 5: Solve for x
    x = 18,671,172,806.25/91,343.25
  6. Step 6: Final answer
    x = 204,406.71

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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.