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Finding the Third Proportional to 97,328 and 140,648

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Solution

The third proportional to 97,328 and 140,648 is: 203,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,328 : 140,648 = 140,648 : x
  2. Step 2: Convert to fraction form
    97,328/140,648 = 140,648/x
  3. Step 3: Cross multiply
    97,328x = 140,648 × 140,648
  4. Step 4: Simplify right side
    97,328x = 19,781,859,904
  5. Step 5: Solve for x
    x = 19,781,859,904/97,328
  6. Step 6: Final answer
    x = 203,249.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.