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Finding the Third Proportional to 52,872 and 77,197

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Solution

The third proportional to 52,872 and 77,197 is: 112,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872 : 77,197 = 77,197 : x
  2. Step 2: Convert to fraction form
    52,872/77,197 = 77,197/x
  3. Step 3: Cross multiply
    52,872x = 77,197 × 77,197
  4. Step 4: Simplify right side
    52,872x = 5,959,376,809
  5. Step 5: Solve for x
    x = 5,959,376,809/52,872
  6. Step 6: Final answer
    x = 112,713.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.