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Finding the Third Proportional to 67,179.25 and 146,639

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Solution

The third proportional to 67,179.25 and 146,639 is: 320,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,179.25 : 146,639 = 146,639 : x
  2. Step 2: Convert to fraction form
    67,179.25/146,639 = 146,639/x
  3. Step 3: Cross multiply
    67,179.25x = 146,639 × 146,639
  4. Step 4: Simplify right side
    67,179.25x = 21,502,996,321
  5. Step 5: Solve for x
    x = 21,502,996,321/67,179.25
  6. Step 6: Final answer
    x = 320,083.90

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Why These Related Problems?

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