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Finding the Third Proportional to 97,892 and 141,328

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Solution

The third proportional to 97,892 and 141,328 is: 204,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,892 : 141,328 = 141,328 : x
  2. Step 2: Convert to fraction form
    97,892/141,328 = 141,328/x
  3. Step 3: Cross multiply
    97,892x = 141,328 × 141,328
  4. Step 4: Simplify right side
    97,892x = 19,973,603,584
  5. Step 5: Solve for x
    x = 19,973,603,584/97,892
  6. Step 6: Final answer
    x = 204,037.14

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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.