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Finding the Third Proportional to 121,822 and 187,489

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Solution

The third proportional to 121,822 and 187,489 is: 288,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,822 : 187,489 = 187,489 : x
  2. Step 2: Convert to fraction form
    121,822/187,489 = 187,489/x
  3. Step 3: Cross multiply
    121,822x = 187,489 × 187,489
  4. Step 4: Simplify right side
    121,822x = 35,152,125,121
  5. Step 5: Solve for x
    x = 35,152,125,121/121,822
  6. Step 6: Final answer
    x = 288,553.18

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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.