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Finding the Third Proportional to 68,074 and 97,846

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Solution

The third proportional to 68,074 and 97,846 is: 140,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,074 : 97,846 = 97,846 : x
  2. Step 2: Convert to fraction form
    68,074/97,846 = 97,846/x
  3. Step 3: Cross multiply
    68,074x = 97,846 × 97,846
  4. Step 4: Simplify right side
    68,074x = 9,573,839,716
  5. Step 5: Solve for x
    x = 9,573,839,716/68,074
  6. Step 6: Final answer
    x = 140,638.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.