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Finding the Third Proportional to 69.13 and 148

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Solution

The third proportional to 69.13 and 148 is: 316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 148 = 148 : x
  2. Step 2: Convert to fraction form
    69.13/148 = 148/x
  3. Step 3: Cross multiply
    69.13x = 148 × 148
  4. Step 4: Simplify right side
    69.13x = 21,904
  5. Step 5: Solve for x
    x = 21,904/69.13
  6. Step 6: Final answer
    x = 316.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.