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Finding the Third Proportional to 51,525 and 109,368

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Solution

The third proportional to 51,525 and 109,368 is: 232,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525 : 109,368 = 109,368 : x
  2. Step 2: Convert to fraction form
    51,525/109,368 = 109,368/x
  3. Step 3: Cross multiply
    51,525x = 109,368 × 109,368
  4. Step 4: Simplify right side
    51,525x = 11,961,359,424
  5. Step 5: Solve for x
    x = 11,961,359,424/51,525
  6. Step 6: Final answer
    x = 232,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.