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Finding the Third Proportional to 57,440 and 126,196

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Solution

The third proportional to 57,440 and 126,196 is: 277,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,440 : 126,196 = 126,196 : x
  2. Step 2: Convert to fraction form
    57,440/126,196 = 126,196/x
  3. Step 3: Cross multiply
    57,440x = 126,196 × 126,196
  4. Step 4: Simplify right side
    57,440x = 15,925,430,416
  5. Step 5: Solve for x
    x = 15,925,430,416/57,440
  6. Step 6: Final answer
    x = 277,253.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.