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Finding the Third Proportional to 43,768 and 93,367.75

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Solution

The third proportional to 43,768 and 93,367.75 is: 199,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 93,367.75 = 93,367.75 : x
  2. Step 2: Convert to fraction form
    43,768/93,367.75 = 93,367.75/x
  3. Step 3: Cross multiply
    43,768x = 93,367.75 × 93,367.75
  4. Step 4: Simplify right side
    43,768x = 8,717,536,740.06
  5. Step 5: Solve for x
    x = 8,717,536,740.06/43,768
  6. Step 6: Final answer
    x = 199,176.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.