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Finding the Third Proportional to 68,374.69 and 103,506.19

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Solution

The third proportional to 68,374.69 and 103,506.19 is: 156,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374.69 : 103,506.19 = 103,506.19 : x
  2. Step 2: Convert to fraction form
    68,374.69/103,506.19 = 103,506.19/x
  3. Step 3: Cross multiply
    68,374.69x = 103,506.19 × 103,506.19
  4. Step 4: Simplify right side
    68,374.69x = 10,713,530,850.79
  5. Step 5: Solve for x
    x = 10,713,530,850.79/68,374.69
  6. Step 6: Final answer
    x = 156,688.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.