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Finding the Third Proportional to 67,456.13 and 148,489.88

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Solution

The third proportional to 67,456.13 and 148,489.88 is: 326,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,456.13 : 148,489.88 = 148,489.88 : x
  2. Step 2: Convert to fraction form
    67,456.13/148,489.88 = 148,489.88/x
  3. Step 3: Cross multiply
    67,456.13x = 148,489.88 × 148,489.88
  4. Step 4: Simplify right side
    67,456.13x = 22,049,242,977.52
  5. Step 5: Solve for x
    x = 22,049,242,977.52/67,456.13
  6. Step 6: Final answer
    x = 326,867.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.