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Finding the Third Proportional to 68,391 and 102,314

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Solution

The third proportional to 68,391 and 102,314 is: 153,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,391 : 102,314 = 102,314 : x
  2. Step 2: Convert to fraction form
    68,391/102,314 = 102,314/x
  3. Step 3: Cross multiply
    68,391x = 102,314 × 102,314
  4. Step 4: Simplify right side
    68,391x = 10,468,154,596
  5. Step 5: Solve for x
    x = 10,468,154,596/68,391
  6. Step 6: Final answer
    x = 153,063.34

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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.