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Finding the Third Proportional to 68,885 and 105,304

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Solution

The third proportional to 68,885 and 105,304 is: 160,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,885 : 105,304 = 105,304 : x
  2. Step 2: Convert to fraction form
    68,885/105,304 = 105,304/x
  3. Step 3: Cross multiply
    68,885x = 105,304 × 105,304
  4. Step 4: Simplify right side
    68,885x = 11,088,932,416
  5. Step 5: Solve for x
    x = 11,088,932,416/68,885
  6. Step 6: Final answer
    x = 160,977.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.