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Finding the Third Proportional to 57,202 and 126,038

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Solution

The third proportional to 57,202 and 126,038 is: 277,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202 : 126,038 = 126,038 : x
  2. Step 2: Convert to fraction form
    57,202/126,038 = 126,038/x
  3. Step 3: Cross multiply
    57,202x = 126,038 × 126,038
  4. Step 4: Simplify right side
    57,202x = 15,885,577,444
  5. Step 5: Solve for x
    x = 15,885,577,444/57,202
  6. Step 6: Final answer
    x = 277,710.18

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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.