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Finding the Third Proportional to 95.74 and 203.02

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Solution

The third proportional to 95.74 and 203.02 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.74 : 203.02 = 203.02 : x
  2. Step 2: Convert to fraction form
    95.74/203.02 = 203.02/x
  3. Step 3: Cross multiply
    95.74x = 203.02 × 203.02
  4. Step 4: Simplify right side
    95.74x = 41,216.19
  5. Step 5: Solve for x
    x = 41,216.19/95.74
  6. Step 6: Final answer
    x = 430.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.