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Finding the Third Proportional to 43,780 and 94,904

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Solution

The third proportional to 43,780 and 94,904 is: 205,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 94,904 = 94,904 : x
  2. Step 2: Convert to fraction form
    43,780/94,904 = 94,904/x
  3. Step 3: Cross multiply
    43,780x = 94,904 × 94,904
  4. Step 4: Simplify right side
    43,780x = 9,006,769,216
  5. Step 5: Solve for x
    x = 9,006,769,216/43,780
  6. Step 6: Final answer
    x = 205,727.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.