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Finding the Third Proportional to 57,838 and 126,154

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Solution

The third proportional to 57,838 and 126,154 is: 275,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838 : 126,154 = 126,154 : x
  2. Step 2: Convert to fraction form
    57,838/126,154 = 126,154/x
  3. Step 3: Cross multiply
    57,838x = 126,154 × 126,154
  4. Step 4: Simplify right side
    57,838x = 15,914,831,716
  5. Step 5: Solve for x
    x = 15,914,831,716/57,838
  6. Step 6: Final answer
    x = 275,162.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.