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Finding the Third Proportional to 68,409 and 102,339

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Solution

The third proportional to 68,409 and 102,339 is: 153,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409 : 102,339 = 102,339 : x
  2. Step 2: Convert to fraction form
    68,409/102,339 = 102,339/x
  3. Step 3: Cross multiply
    68,409x = 102,339 × 102,339
  4. Step 4: Simplify right side
    68,409x = 10,473,270,921
  5. Step 5: Solve for x
    x = 10,473,270,921/68,409
  6. Step 6: Final answer
    x = 153,097.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.