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Finding the Third Proportional to 68,103 and 95,348.50

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Solution

The third proportional to 68,103 and 95,348.50 is: 133,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,103 : 95,348.50 = 95,348.50 : x
  2. Step 2: Convert to fraction form
    68,103/95,348.50 = 95,348.50/x
  3. Step 3: Cross multiply
    68,103x = 95,348.50 × 95,348.50
  4. Step 4: Simplify right side
    68,103x = 9,091,336,452.25
  5. Step 5: Solve for x
    x = 9,091,336,452.25/68,103
  6. Step 6: Final answer
    x = 133,493.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.