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Finding the Third Proportional to 68,822 and 106,363

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Solution

The third proportional to 68,822 and 106,363 is: 164,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,822 : 106,363 = 106,363 : x
  2. Step 2: Convert to fraction form
    68,822/106,363 = 106,363/x
  3. Step 3: Cross multiply
    68,822x = 106,363 × 106,363
  4. Step 4: Simplify right side
    68,822x = 11,313,087,769
  5. Step 5: Solve for x
    x = 11,313,087,769/68,822
  6. Step 6: Final answer
    x = 164,381.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.