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Finding the Third Proportional to 42,886 and 93,692

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Solution

The third proportional to 42,886 and 93,692 is: 204,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,886 : 93,692 = 93,692 : x
  2. Step 2: Convert to fraction form
    42,886/93,692 = 93,692/x
  3. Step 3: Cross multiply
    42,886x = 93,692 × 93,692
  4. Step 4: Simplify right side
    42,886x = 8,778,190,864
  5. Step 5: Solve for x
    x = 8,778,190,864/42,886
  6. Step 6: Final answer
    x = 204,686.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.