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Finding the Third Proportional to 68,663 and 106,262

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Solution

The third proportional to 68,663 and 106,262 is: 164,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,663 : 106,262 = 106,262 : x
  2. Step 2: Convert to fraction form
    68,663/106,262 = 106,262/x
  3. Step 3: Cross multiply
    68,663x = 106,262 × 106,262
  4. Step 4: Simplify right side
    68,663x = 11,291,612,644
  5. Step 5: Solve for x
    x = 11,291,612,644/68,663
  6. Step 6: Final answer
    x = 164,449.74

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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.