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Finding the Third Proportional to 67,319 and 147,694

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Solution

The third proportional to 67,319 and 147,694 is: 324,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319 : 147,694 = 147,694 : x
  2. Step 2: Convert to fraction form
    67,319/147,694 = 147,694/x
  3. Step 3: Cross multiply
    67,319x = 147,694 × 147,694
  4. Step 4: Simplify right side
    67,319x = 21,813,517,636
  5. Step 5: Solve for x
    x = 21,813,517,636/67,319
  6. Step 6: Final answer
    x = 324,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.