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Finding the Third Proportional to 75,229.88 and 156,764.53

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Solution

The third proportional to 75,229.88 and 156,764.53 is: 326,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229.88 : 156,764.53 = 156,764.53 : x
  2. Step 2: Convert to fraction form
    75,229.88/156,764.53 = 156,764.53/x
  3. Step 3: Cross multiply
    75,229.88x = 156,764.53 × 156,764.53
  4. Step 4: Simplify right side
    75,229.88x = 24,575,118,258.03
  5. Step 5: Solve for x
    x = 24,575,118,258.03/75,229.88
  6. Step 6: Final answer
    x = 326,667.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.