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Finding the Third Proportional to 51,120 and 79,368

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Solution

The third proportional to 51,120 and 79,368 is: 123,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 79,368 = 79,368 : x
  2. Step 2: Convert to fraction form
    51,120/79,368 = 79,368/x
  3. Step 3: Cross multiply
    51,120x = 79,368 × 79,368
  4. Step 4: Simplify right side
    51,120x = 6,299,279,424
  5. Step 5: Solve for x
    x = 6,299,279,424/51,120
  6. Step 6: Final answer
    x = 123,225.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.