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Finding the Third Proportional to 126,103.50 and 189,307.13

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Solution

The third proportional to 126,103.50 and 189,307.13 is: 284,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,103.50 : 189,307.13 = 189,307.13 : x
  2. Step 2: Convert to fraction form
    126,103.50/189,307.13 = 189,307.13/x
  3. Step 3: Cross multiply
    126,103.50x = 189,307.13 × 189,307.13
  4. Step 4: Simplify right side
    126,103.50x = 35,837,187,575.77
  5. Step 5: Solve for x
    x = 35,837,187,575.77/126,103.50
  6. Step 6: Final answer
    x = 284,188.68

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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.