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Finding the Third Proportional to 43,656 and 93,684

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Solution

The third proportional to 43,656 and 93,684 is: 201,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,656 : 93,684 = 93,684 : x
  2. Step 2: Convert to fraction form
    43,656/93,684 = 93,684/x
  3. Step 3: Cross multiply
    43,656x = 93,684 × 93,684
  4. Step 4: Simplify right side
    43,656x = 8,776,691,856
  5. Step 5: Solve for x
    x = 8,776,691,856/43,656
  6. Step 6: Final answer
    x = 201,042.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.