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Finding the Third Proportional to 67,650.38 and 146,828.81

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Solution

The third proportional to 67,650.38 and 146,828.81 is: 318,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,650.38 : 146,828.81 = 146,828.81 : x
  2. Step 2: Convert to fraction form
    67,650.38/146,828.81 = 146,828.81/x
  3. Step 3: Cross multiply
    67,650.38x = 146,828.81 × 146,828.81
  4. Step 4: Simplify right side
    67,650.38x = 21,558,700,180.16
  5. Step 5: Solve for x
    x = 21,558,700,180.16/67,650.38
  6. Step 6: Final answer
    x = 318,678.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.