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Finding the Third Proportional to 68,936.06 and 105,408.84

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Solution

The third proportional to 68,936.06 and 105,408.84 is: 161,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,936.06 : 105,408.84 = 105,408.84 : x
  2. Step 2: Convert to fraction form
    68,936.06/105,408.84 = 105,408.84/x
  3. Step 3: Cross multiply
    68,936.06x = 105,408.84 × 105,408.84
  4. Step 4: Simplify right side
    68,936.06x = 11,111,024,340.71
  5. Step 5: Solve for x
    x = 11,111,024,340.71/68,936.06
  6. Step 6: Final answer
    x = 161,178.69

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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.