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Finding the Third Proportional to 80,580 and 120,942

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Solution

The third proportional to 80,580 and 120,942 is: 181,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 120,942 = 120,942 : x
  2. Step 2: Convert to fraction form
    80,580/120,942 = 120,942/x
  3. Step 3: Cross multiply
    80,580x = 120,942 × 120,942
  4. Step 4: Simplify right side
    80,580x = 14,626,967,364
  5. Step 5: Solve for x
    x = 14,626,967,364/80,580
  6. Step 6: Final answer
    x = 181,521.06

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