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Finding the Third Proportional to 68,863 and 106,332

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Solution

The third proportional to 68,863 and 106,332 is: 164,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,863 : 106,332 = 106,332 : x
  2. Step 2: Convert to fraction form
    68,863/106,332 = 106,332/x
  3. Step 3: Cross multiply
    68,863x = 106,332 × 106,332
  4. Step 4: Simplify right side
    68,863x = 11,306,494,224
  5. Step 5: Solve for x
    x = 11,306,494,224/68,863
  6. Step 6: Final answer
    x = 164,188.23

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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.