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Finding the Third Proportional to 57,752 and 126,536

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Solution

The third proportional to 57,752 and 126,536 is: 277,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752 : 126,536 = 126,536 : x
  2. Step 2: Convert to fraction form
    57,752/126,536 = 126,536/x
  3. Step 3: Cross multiply
    57,752x = 126,536 × 126,536
  4. Step 4: Simplify right side
    57,752x = 16,011,359,296
  5. Step 5: Solve for x
    x = 16,011,359,296/57,752
  6. Step 6: Final answer
    x = 277,243.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.