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Finding the Third Proportional to 102.19 and 157.92

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Solution

The third proportional to 102.19 and 157.92 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 157.92 = 157.92 : x
  2. Step 2: Convert to fraction form
    102.19/157.92 = 157.92/x
  3. Step 3: Cross multiply
    102.19x = 157.92 × 157.92
  4. Step 4: Simplify right side
    102.19x = 24,939.32
  5. Step 5: Solve for x
    x = 24,939.32/102.19
  6. Step 6: Final answer
    x = 244.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.