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Finding the Third Proportional to 71.37 and 147.80

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Solution

The third proportional to 71.37 and 147.80 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 147.80 = 147.80 : x
  2. Step 2: Convert to fraction form
    71.37/147.80 = 147.80/x
  3. Step 3: Cross multiply
    71.37x = 147.80 × 147.80
  4. Step 4: Simplify right side
    71.37x = 21,843.92
  5. Step 5: Solve for x
    x = 21,843.92/71.37
  6. Step 6: Final answer
    x = 306.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.