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Finding the Third Proportional to 68,616 and 146,448

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Solution

The third proportional to 68,616 and 146,448 is: 312,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616 : 146,448 = 146,448 : x
  2. Step 2: Convert to fraction form
    68,616/146,448 = 146,448/x
  3. Step 3: Cross multiply
    68,616x = 146,448 × 146,448
  4. Step 4: Simplify right side
    68,616x = 21,447,016,704
  5. Step 5: Solve for x
    x = 21,447,016,704/68,616
  6. Step 6: Final answer
    x = 312,565.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.