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Finding the Third Proportional to 34,767 and 75,943

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Solution

The third proportional to 34,767 and 75,943 is: 165,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 75,943 = 75,943 : x
  2. Step 2: Convert to fraction form
    34,767/75,943 = 75,943/x
  3. Step 3: Cross multiply
    34,767x = 75,943 × 75,943
  4. Step 4: Simplify right side
    34,767x = 5,767,339,249
  5. Step 5: Solve for x
    x = 5,767,339,249/34,767
  6. Step 6: Final answer
    x = 165,885.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.