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Finding the Third Proportional to 68,115.38 and 148,491.75

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Solution

The third proportional to 68,115.38 and 148,491.75 is: 323,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,115.38 : 148,491.75 = 148,491.75 : x
  2. Step 2: Convert to fraction form
    68,115.38/148,491.75 = 148,491.75/x
  3. Step 3: Cross multiply
    68,115.38x = 148,491.75 × 148,491.75
  4. Step 4: Simplify right side
    68,115.38x = 22,049,799,818.06
  5. Step 5: Solve for x
    x = 22,049,799,818.06/68,115.38
  6. Step 6: Final answer
    x = 323,712.52

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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.