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Finding the Third Proportional to 120,222.88 and 187,612.88

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Solution

The third proportional to 120,222.88 and 187,612.88 is: 292,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222.88 : 187,612.88 = 187,612.88 : x
  2. Step 2: Convert to fraction form
    120,222.88/187,612.88 = 187,612.88/x
  3. Step 3: Cross multiply
    120,222.88x = 187,612.88 × 187,612.88
  4. Step 4: Simplify right side
    120,222.88x = 35,198,590,865.77
  5. Step 5: Solve for x
    x = 35,198,590,865.77/120,222.88
  6. Step 6: Final answer
    x = 292,777.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.