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Finding the Third Proportional to 52,767 and 115,386

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Solution

The third proportional to 52,767 and 115,386 is: 252,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,767 : 115,386 = 115,386 : x
  2. Step 2: Convert to fraction form
    52,767/115,386 = 115,386/x
  3. Step 3: Cross multiply
    52,767x = 115,386 × 115,386
  4. Step 4: Simplify right side
    52,767x = 13,313,928,996
  5. Step 5: Solve for x
    x = 13,313,928,996/52,767
  6. Step 6: Final answer
    x = 252,315.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.