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Finding the Third Proportional to 68,944.50 and 108,335.81

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Solution

The third proportional to 68,944.50 and 108,335.81 is: 170,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,944.50 : 108,335.81 = 108,335.81 : x
  2. Step 2: Convert to fraction form
    68,944.50/108,335.81 = 108,335.81/x
  3. Step 3: Cross multiply
    68,944.50x = 108,335.81 × 108,335.81
  4. Step 4: Simplify right side
    68,944.50x = 11,736,648,270.04
  5. Step 5: Solve for x
    x = 11,736,648,270.04/68,944.50
  6. Step 6: Final answer
    x = 170,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.