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Finding the Third Proportional to 120,994.88 and 187,963.88

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Solution

The third proportional to 120,994.88 and 187,963.88 is: 291,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994.88 : 187,963.88 = 187,963.88 : x
  2. Step 2: Convert to fraction form
    120,994.88/187,963.88 = 187,963.88/x
  3. Step 3: Cross multiply
    120,994.88x = 187,963.88 × 187,963.88
  4. Step 4: Simplify right side
    120,994.88x = 35,330,418,305.02
  5. Step 5: Solve for x
    x = 35,330,418,305.02/120,994.88
  6. Step 6: Final answer
    x = 291,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.