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Finding the Third Proportional to 91,314 and 136,599.75

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Solution

The third proportional to 91,314 and 136,599.75 is: 204,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,314 : 136,599.75 = 136,599.75 : x
  2. Step 2: Convert to fraction form
    91,314/136,599.75 = 136,599.75/x
  3. Step 3: Cross multiply
    91,314x = 136,599.75 × 136,599.75
  4. Step 4: Simplify right side
    91,314x = 18,659,491,700.06
  5. Step 5: Solve for x
    x = 18,659,491,700.06/91,314
  6. Step 6: Final answer
    x = 204,344.26

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Why These Related Problems?

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