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Finding the Third Proportional to 96,840 and 141,408

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Solution

The third proportional to 96,840 and 141,408 is: 206,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840 : 141,408 = 141,408 : x
  2. Step 2: Convert to fraction form
    96,840/141,408 = 141,408/x
  3. Step 3: Cross multiply
    96,840x = 141,408 × 141,408
  4. Step 4: Simplify right side
    96,840x = 19,996,222,464
  5. Step 5: Solve for x
    x = 19,996,222,464/96,840
  6. Step 6: Final answer
    x = 206,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.