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Finding the Third Proportional to 106,822 and 167,566

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Solution

The third proportional to 106,822 and 167,566 is: 262,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 167,566 = 167,566 : x
  2. Step 2: Convert to fraction form
    106,822/167,566 = 167,566/x
  3. Step 3: Cross multiply
    106,822x = 167,566 × 167,566
  4. Step 4: Simplify right side
    106,822x = 28,078,364,356
  5. Step 5: Solve for x
    x = 28,078,364,356/106,822
  6. Step 6: Final answer
    x = 262,851.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.