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Finding the Third Proportional to 90,937.88 and 137,664.38

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Solution

The third proportional to 90,937.88 and 137,664.38 is: 208,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,937.88 : 137,664.38 = 137,664.38 : x
  2. Step 2: Convert to fraction form
    90,937.88/137,664.38 = 137,664.38/x
  3. Step 3: Cross multiply
    90,937.88x = 137,664.38 × 137,664.38
  4. Step 4: Simplify right side
    90,937.88x = 18,951,480,144.14
  5. Step 5: Solve for x
    x = 18,951,480,144.14/90,937.88
  6. Step 6: Final answer
    x = 208,400.30

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