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Finding the Third Proportional to 94.92 and 147.13

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Solution

The third proportional to 94.92 and 147.13 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 147.13 = 147.13 : x
  2. Step 2: Convert to fraction form
    94.92/147.13 = 147.13/x
  3. Step 3: Cross multiply
    94.92x = 147.13 × 147.13
  4. Step 4: Simplify right side
    94.92x = 21,646.92
  5. Step 5: Solve for x
    x = 21,646.92/94.92
  6. Step 6: Final answer
    x = 228.05

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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.