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Finding the Third Proportional to 67,851 and 97,372

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Solution

The third proportional to 67,851 and 97,372 is: 139,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,851 : 97,372 = 97,372 : x
  2. Step 2: Convert to fraction form
    67,851/97,372 = 97,372/x
  3. Step 3: Cross multiply
    67,851x = 97,372 × 97,372
  4. Step 4: Simplify right side
    67,851x = 9,481,306,384
  5. Step 5: Solve for x
    x = 9,481,306,384/67,851
  6. Step 6: Final answer
    x = 139,737.17

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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.