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Finding the Third Proportional to 70.01 and 138.30

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Solution

The third proportional to 70.01 and 138.30 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.01 : 138.30 = 138.30 : x
  2. Step 2: Convert to fraction form
    70.01/138.30 = 138.30/x
  3. Step 3: Cross multiply
    70.01x = 138.30 × 138.30
  4. Step 4: Simplify right side
    70.01x = 19,128.19
  5. Step 5: Solve for x
    x = 19,128.19/70.01
  6. Step 6: Final answer
    x = 273.21

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.