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Finding the Third Proportional to 68,674.78 and 142,612.59

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Solution

The third proportional to 68,674.78 and 142,612.59 is: 296,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,674.78 : 142,612.59 = 142,612.59 : x
  2. Step 2: Convert to fraction form
    68,674.78/142,612.59 = 142,612.59/x
  3. Step 3: Cross multiply
    68,674.78x = 142,612.59 × 142,612.59
  4. Step 4: Simplify right side
    68,674.78x = 20,338,351,896.10
  5. Step 5: Solve for x
    x = 20,338,351,896.10/68,674.78
  6. Step 6: Final answer
    x = 296,154.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.