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Finding the Third Proportional to 42,660 and 99,692

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Solution

The third proportional to 42,660 and 99,692 is: 232,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,660 : 99,692 = 99,692 : x
  2. Step 2: Convert to fraction form
    42,660/99,692 = 99,692/x
  3. Step 3: Cross multiply
    42,660x = 99,692 × 99,692
  4. Step 4: Simplify right side
    42,660x = 9,938,494,864
  5. Step 5: Solve for x
    x = 9,938,494,864/42,660
  6. Step 6: Final answer
    x = 232,969.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.