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Finding the Third Proportional to 68,810.81 and 143,863.69

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Solution

The third proportional to 68,810.81 and 143,863.69 is: 300,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,810.81 : 143,863.69 = 143,863.69 : x
  2. Step 2: Convert to fraction form
    68,810.81/143,863.69 = 143,863.69/x
  3. Step 3: Cross multiply
    68,810.81x = 143,863.69 × 143,863.69
  4. Step 4: Simplify right side
    68,810.81x = 20,696,760,581.10
  5. Step 5: Solve for x
    x = 20,696,760,581.10/68,810.81
  6. Step 6: Final answer
    x = 300,777.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.