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Finding the Third Proportional to 68,768.16 and 105,195.80

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Solution

The third proportional to 68,768.16 and 105,195.80 is: 160,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,768.16 : 105,195.80 = 105,195.80 : x
  2. Step 2: Convert to fraction form
    68,768.16/105,195.80 = 105,195.80/x
  3. Step 3: Cross multiply
    68,768.16x = 105,195.80 × 105,195.80
  4. Step 4: Simplify right side
    68,768.16x = 11,066,155,680.17
  5. Step 5: Solve for x
    x = 11,066,155,680.17/68,768.16
  6. Step 6: Final answer
    x = 160,919.77

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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.