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Finding the Third Proportional to 68,176.69 and 148,744.69

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Solution

The third proportional to 68,176.69 and 148,744.69 is: 324,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.69 : 148,744.69 = 148,744.69 : x
  2. Step 2: Convert to fraction form
    68,176.69/148,744.69 = 148,744.69/x
  3. Step 3: Cross multiply
    68,176.69x = 148,744.69 × 148,744.69
  4. Step 4: Simplify right side
    68,176.69x = 22,124,982,059.47
  5. Step 5: Solve for x
    x = 22,124,982,059.47/68,176.69
  6. Step 6: Final answer
    x = 324,524.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.