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Finding the Third Proportional to 91,137.75 and 135,767.25

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Solution

The third proportional to 91,137.75 and 135,767.25 is: 202,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,137.75 : 135,767.25 = 135,767.25 : x
  2. Step 2: Convert to fraction form
    91,137.75/135,767.25 = 135,767.25/x
  3. Step 3: Cross multiply
    91,137.75x = 135,767.25 × 135,767.25
  4. Step 4: Simplify right side
    91,137.75x = 18,432,746,172.56
  5. Step 5: Solve for x
    x = 18,432,746,172.56/91,137.75
  6. Step 6: Final answer
    x = 202,251.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.