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Finding the Third Proportional to 43,692 and 93,107

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Solution

The third proportional to 43,692 and 93,107 is: 198,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 93,107 = 93,107 : x
  2. Step 2: Convert to fraction form
    43,692/93,107 = 93,107/x
  3. Step 3: Cross multiply
    43,692x = 93,107 × 93,107
  4. Step 4: Simplify right side
    43,692x = 8,668,913,449
  5. Step 5: Solve for x
    x = 8,668,913,449/43,692
  6. Step 6: Final answer
    x = 198,409.63

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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.