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Finding the Third Proportional to 52,256 and 79,478

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Solution

The third proportional to 52,256 and 79,478 is: 120,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,256 : 79,478 = 79,478 : x
  2. Step 2: Convert to fraction form
    52,256/79,478 = 79,478/x
  3. Step 3: Cross multiply
    52,256x = 79,478 × 79,478
  4. Step 4: Simplify right side
    52,256x = 6,316,752,484
  5. Step 5: Solve for x
    x = 6,316,752,484/52,256
  6. Step 6: Final answer
    x = 120,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.