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Finding the Third Proportional to 113,616 and 169,722

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Solution

The third proportional to 113,616 and 169,722 is: 253,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,616 : 169,722 = 169,722 : x
  2. Step 2: Convert to fraction form
    113,616/169,722 = 169,722/x
  3. Step 3: Cross multiply
    113,616x = 169,722 × 169,722
  4. Step 4: Simplify right side
    113,616x = 28,805,557,284
  5. Step 5: Solve for x
    x = 28,805,557,284/113,616
  6. Step 6: Final answer
    x = 253,534.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.