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Finding the Third Proportional to 67,306.88 and 146,837.88

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Solution

The third proportional to 67,306.88 and 146,837.88 is: 320,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.88 : 146,837.88 = 146,837.88 : x
  2. Step 2: Convert to fraction form
    67,306.88/146,837.88 = 146,837.88/x
  3. Step 3: Cross multiply
    67,306.88x = 146,837.88 × 146,837.88
  4. Step 4: Simplify right side
    67,306.88x = 21,561,361,534.52
  5. Step 5: Solve for x
    x = 21,561,361,534.52/67,306.88
  6. Step 6: Final answer
    x = 320,344.12

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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.