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Finding the Third Proportional to 126,094.22 and 189,657.70

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Solution

The third proportional to 126,094.22 and 189,657.70 is: 285,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,094.22 : 189,657.70 = 189,657.70 : x
  2. Step 2: Convert to fraction form
    126,094.22/189,657.70 = 189,657.70/x
  3. Step 3: Cross multiply
    126,094.22x = 189,657.70 × 189,657.70
  4. Step 4: Simplify right side
    126,094.22x = 35,970,044,354.65
  5. Step 5: Solve for x
    x = 35,970,044,354.65/126,094.22
  6. Step 6: Final answer
    x = 285,263.23

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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.