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Finding the Third Proportional to 104,013 and 156,616

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Solution

The third proportional to 104,013 and 156,616 is: 235,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,013 : 156,616 = 156,616 : x
  2. Step 2: Convert to fraction form
    104,013/156,616 = 156,616/x
  3. Step 3: Cross multiply
    104,013x = 156,616 × 156,616
  4. Step 4: Simplify right side
    104,013x = 24,528,571,456
  5. Step 5: Solve for x
    x = 24,528,571,456/104,013
  6. Step 6: Final answer
    x = 235,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.