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Finding the Third Proportional to 96,822 and 149,556

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Solution

The third proportional to 96,822 and 149,556 is: 231,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822 : 149,556 = 149,556 : x
  2. Step 2: Convert to fraction form
    96,822/149,556 = 149,556/x
  3. Step 3: Cross multiply
    96,822x = 149,556 × 149,556
  4. Step 4: Simplify right side
    96,822x = 22,366,997,136
  5. Step 5: Solve for x
    x = 22,366,997,136/96,822
  6. Step 6: Final answer
    x = 231,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.