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Finding the Third Proportional to 120,922.88 and 181,364.06

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Solution

The third proportional to 120,922.88 and 181,364.06 is: 272,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,922.88 : 181,364.06 = 181,364.06 : x
  2. Step 2: Convert to fraction form
    120,922.88/181,364.06 = 181,364.06/x
  3. Step 3: Cross multiply
    120,922.88x = 181,364.06 × 181,364.06
  4. Step 4: Simplify right side
    120,922.88x = 32,892,923,166.50
  5. Step 5: Solve for x
    x = 32,892,923,166.50/120,922.88
  6. Step 6: Final answer
    x = 272,015.72

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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.