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Finding the Third Proportional to 42,608 and 92,648

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Solution

The third proportional to 42,608 and 92,648 is: 201,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,608 : 92,648 = 92,648 : x
  2. Step 2: Convert to fraction form
    42,608/92,648 = 92,648/x
  3. Step 3: Cross multiply
    42,608x = 92,648 × 92,648
  4. Step 4: Simplify right side
    42,608x = 8,583,651,904
  5. Step 5: Solve for x
    x = 8,583,651,904/42,608
  6. Step 6: Final answer
    x = 201,456.34

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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.