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Finding the Third Proportional to 96,822 and 145,341

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Solution

The third proportional to 96,822 and 145,341 is: 218,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822 : 145,341 = 145,341 : x
  2. Step 2: Convert to fraction form
    96,822/145,341 = 145,341/x
  3. Step 3: Cross multiply
    96,822x = 145,341 × 145,341
  4. Step 4: Simplify right side
    96,822x = 21,124,006,281
  5. Step 5: Solve for x
    x = 21,124,006,281/96,822
  6. Step 6: Final answer
    x = 218,173.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.