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Finding the Third Proportional to 100.41 and 142.59

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Solution

The third proportional to 100.41 and 142.59 is: 202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 142.59 = 142.59 : x
  2. Step 2: Convert to fraction form
    100.41/142.59 = 142.59/x
  3. Step 3: Cross multiply
    100.41x = 142.59 × 142.59
  4. Step 4: Simplify right side
    100.41x = 20,332.98
  5. Step 5: Solve for x
    x = 20,332.98/100.41
  6. Step 6: Final answer
    x = 202.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.