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Finding the Third Proportional to 126,340 and 173,574

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Solution

The third proportional to 126,340 and 173,574 is: 238,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,340 : 173,574 = 173,574 : x
  2. Step 2: Convert to fraction form
    126,340/173,574 = 173,574/x
  3. Step 3: Cross multiply
    126,340x = 173,574 × 173,574
  4. Step 4: Simplify right side
    126,340x = 30,127,933,476
  5. Step 5: Solve for x
    x = 30,127,933,476/126,340
  6. Step 6: Final answer
    x = 238,467.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.