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Finding the Third Proportional to 91,250 and 136,504

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Solution

The third proportional to 91,250 and 136,504 is: 204,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,250 : 136,504 = 136,504 : x
  2. Step 2: Convert to fraction form
    91,250/136,504 = 136,504/x
  3. Step 3: Cross multiply
    91,250x = 136,504 × 136,504
  4. Step 4: Simplify right side
    91,250x = 18,633,342,016
  5. Step 5: Solve for x
    x = 18,633,342,016/91,250
  6. Step 6: Final answer
    x = 204,201.01

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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.