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Finding the Third Proportional to 100.25 and 160.63

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Solution

The third proportional to 100.25 and 160.63 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.25 : 160.63 = 160.63 : x
  2. Step 2: Convert to fraction form
    100.25/160.63 = 160.63/x
  3. Step 3: Cross multiply
    100.25x = 160.63 × 160.63
  4. Step 4: Simplify right side
    100.25x = 25,800.39
  5. Step 5: Solve for x
    x = 25,800.39/100.25
  6. Step 6: Final answer
    x = 257.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.