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Finding the Third Proportional to 104,002 and 148,616

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Solution

The third proportional to 104,002 and 148,616 is: 212,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,002 : 148,616 = 148,616 : x
  2. Step 2: Convert to fraction form
    104,002/148,616 = 148,616/x
  3. Step 3: Cross multiply
    104,002x = 148,616 × 148,616
  4. Step 4: Simplify right side
    104,002x = 22,086,715,456
  5. Step 5: Solve for x
    x = 22,086,715,456/104,002
  6. Step 6: Final answer
    x = 212,368.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.