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Finding the Third Proportional to 105,885.88 and 155,296.75

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Solution

The third proportional to 105,885.88 and 155,296.75 is: 227,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885.88 : 155,296.75 = 155,296.75 : x
  2. Step 2: Convert to fraction form
    105,885.88/155,296.75 = 155,296.75/x
  3. Step 3: Cross multiply
    105,885.88x = 155,296.75 × 155,296.75
  4. Step 4: Simplify right side
    105,885.88x = 24,117,080,560.56
  5. Step 5: Solve for x
    x = 24,117,080,560.56/105,885.88
  6. Step 6: Final answer
    x = 227,764.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.