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Finding the Third Proportional to 90,937.66 and 137,664.53

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Solution

The third proportional to 90,937.66 and 137,664.53 is: 208,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,937.66 : 137,664.53 = 137,664.53 : x
  2. Step 2: Convert to fraction form
    90,937.66/137,664.53 = 137,664.53/x
  3. Step 3: Cross multiply
    90,937.66x = 137,664.53 × 137,664.53
  4. Step 4: Simplify right side
    90,937.66x = 18,951,523,164.28
  5. Step 5: Solve for x
    x = 18,951,523,164.28/90,937.66
  6. Step 6: Final answer
    x = 208,401.27

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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.