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Finding the Third Proportional to 68,829 and 148,674

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Solution

The third proportional to 68,829 and 148,674 is: 321,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,829 : 148,674 = 148,674 : x
  2. Step 2: Convert to fraction form
    68,829/148,674 = 148,674/x
  3. Step 3: Cross multiply
    68,829x = 148,674 × 148,674
  4. Step 4: Simplify right side
    68,829x = 22,103,958,276
  5. Step 5: Solve for x
    x = 22,103,958,276/68,829
  6. Step 6: Final answer
    x = 321,143.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.