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Finding the Third Proportional to 70.88 and 148.64

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Solution

The third proportional to 70.88 and 148.64 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 148.64 = 148.64 : x
  2. Step 2: Convert to fraction form
    70.88/148.64 = 148.64/x
  3. Step 3: Cross multiply
    70.88x = 148.64 × 148.64
  4. Step 4: Simplify right side
    70.88x = 22,094.04
  5. Step 5: Solve for x
    x = 22,094.04/70.88
  6. Step 6: Final answer
    x = 311.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.