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Finding the Third Proportional to 89,714.25 and 137,716.88

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Solution

The third proportional to 89,714.25 and 137,716.88 is: 211,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,714.25 : 137,716.88 = 137,716.88 : x
  2. Step 2: Convert to fraction form
    89,714.25/137,716.88 = 137,716.88/x
  3. Step 3: Cross multiply
    89,714.25x = 137,716.88 × 137,716.88
  4. Step 4: Simplify right side
    89,714.25x = 18,965,937,659.77
  5. Step 5: Solve for x
    x = 18,965,937,659.77/89,714.25
  6. Step 6: Final answer
    x = 211,403.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.