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Finding the Third Proportional to 68,266 and 103,353

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Solution

The third proportional to 68,266 and 103,353 is: 156,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,266 : 103,353 = 103,353 : x
  2. Step 2: Convert to fraction form
    68,266/103,353 = 103,353/x
  3. Step 3: Cross multiply
    68,266x = 103,353 × 103,353
  4. Step 4: Simplify right side
    68,266x = 10,681,842,609
  5. Step 5: Solve for x
    x = 10,681,842,609/68,266
  6. Step 6: Final answer
    x = 156,473.83

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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.