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Finding the Third Proportional to 80,956.50 and 121,444.50

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Solution

The third proportional to 80,956.50 and 121,444.50 is: 182,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,956.50 : 121,444.50 = 121,444.50 : x
  2. Step 2: Convert to fraction form
    80,956.50/121,444.50 = 121,444.50/x
  3. Step 3: Cross multiply
    80,956.50x = 121,444.50 × 121,444.50
  4. Step 4: Simplify right side
    80,956.50x = 14,748,766,580.25
  5. Step 5: Solve for x
    x = 14,748,766,580.25/80,956.50
  6. Step 6: Final answer
    x = 182,181.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.