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Finding the Third Proportional to 68,054 and 96,787

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Solution

The third proportional to 68,054 and 96,787 is: 137,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054 : 96,787 = 96,787 : x
  2. Step 2: Convert to fraction form
    68,054/96,787 = 96,787/x
  3. Step 3: Cross multiply
    68,054x = 96,787 × 96,787
  4. Step 4: Simplify right side
    68,054x = 9,367,723,369
  5. Step 5: Solve for x
    x = 9,367,723,369/68,054
  6. Step 6: Final answer
    x = 137,651.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.