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Finding the Third Proportional to 42,648 and 99,616

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Solution

The third proportional to 42,648 and 99,616 is: 232,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648 : 99,616 = 99,616 : x
  2. Step 2: Convert to fraction form
    42,648/99,616 = 99,616/x
  3. Step 3: Cross multiply
    42,648x = 99,616 × 99,616
  4. Step 4: Simplify right side
    42,648x = 9,923,347,456
  5. Step 5: Solve for x
    x = 9,923,347,456/42,648
  6. Step 6: Final answer
    x = 232,680.25

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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.