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Finding the Third Proportional to 68,848.73 and 105,253.17

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Solution

The third proportional to 68,848.73 and 105,253.17 is: 160,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,848.73 : 105,253.17 = 105,253.17 : x
  2. Step 2: Convert to fraction form
    68,848.73/105,253.17 = 105,253.17/x
  3. Step 3: Cross multiply
    68,848.73x = 105,253.17 × 105,253.17
  4. Step 4: Simplify right side
    68,848.73x = 11,078,230,189.75
  5. Step 5: Solve for x
    x = 11,078,230,189.75/68,848.73
  6. Step 6: Final answer
    x = 160,906.81

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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.