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Finding the Third Proportional to 90,523.50 and 136,950.13

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Solution

The third proportional to 90,523.50 and 136,950.13 is: 207,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,523.50 : 136,950.13 = 136,950.13 : x
  2. Step 2: Convert to fraction form
    90,523.50/136,950.13 = 136,950.13/x
  3. Step 3: Cross multiply
    90,523.50x = 136,950.13 × 136,950.13
  4. Step 4: Simplify right side
    90,523.50x = 18,755,336,737.52
  5. Step 5: Solve for x
    x = 18,755,336,737.52/90,523.50
  6. Step 6: Final answer
    x = 207,187.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.