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Finding the Third Proportional to 96,184 and 140,556

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Solution

The third proportional to 96,184 and 140,556 is: 205,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,184 : 140,556 = 140,556 : x
  2. Step 2: Convert to fraction form
    96,184/140,556 = 140,556/x
  3. Step 3: Cross multiply
    96,184x = 140,556 × 140,556
  4. Step 4: Simplify right side
    96,184x = 19,755,989,136
  5. Step 5: Solve for x
    x = 19,755,989,136/96,184
  6. Step 6: Final answer
    x = 205,397.87

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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.