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Finding the Third Proportional to 126,160 and 149,200

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Solution

The third proportional to 126,160 and 149,200 is: 176,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,160 : 149,200 = 149,200 : x
  2. Step 2: Convert to fraction form
    126,160/149,200 = 149,200/x
  3. Step 3: Cross multiply
    126,160x = 149,200 × 149,200
  4. Step 4: Simplify right side
    126,160x = 22,260,640,000
  5. Step 5: Solve for x
    x = 22,260,640,000/126,160
  6. Step 6: Final answer
    x = 176,447.69

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.