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Finding the Third Proportional to 100,160 and 154,616

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Solution

The third proportional to 100,160 and 154,616 is: 238,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,160 : 154,616 = 154,616 : x
  2. Step 2: Convert to fraction form
    100,160/154,616 = 154,616/x
  3. Step 3: Cross multiply
    100,160x = 154,616 × 154,616
  4. Step 4: Simplify right side
    100,160x = 23,906,107,456
  5. Step 5: Solve for x
    x = 23,906,107,456/100,160
  6. Step 6: Final answer
    x = 238,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.