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Finding the Third Proportional to 57,752 and 125,368

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Solution

The third proportional to 57,752 and 125,368 is: 272,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752 : 125,368 = 125,368 : x
  2. Step 2: Convert to fraction form
    57,752/125,368 = 125,368/x
  3. Step 3: Cross multiply
    57,752x = 125,368 × 125,368
  4. Step 4: Simplify right side
    57,752x = 15,717,135,424
  5. Step 5: Solve for x
    x = 15,717,135,424/57,752
  6. Step 6: Final answer
    x = 272,148.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.