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Finding the Third Proportional to 70.24 and 148.71

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Solution

The third proportional to 70.24 and 148.71 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 148.71 = 148.71 : x
  2. Step 2: Convert to fraction form
    70.24/148.71 = 148.71/x
  3. Step 3: Cross multiply
    70.24x = 148.71 × 148.71
  4. Step 4: Simplify right side
    70.24x = 22,114.94
  5. Step 5: Solve for x
    x = 22,114.94/70.24
  6. Step 6: Final answer
    x = 314.84

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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.