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Finding the Third Proportional to 61.03 and 93.80

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Solution

The third proportional to 61.03 and 93.80 is: 144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 93.80 = 93.80 : x
  2. Step 2: Convert to fraction form
    61.03/93.80 = 93.80/x
  3. Step 3: Cross multiply
    61.03x = 93.80 × 93.80
  4. Step 4: Simplify right side
    61.03x = 8,797.85
  5. Step 5: Solve for x
    x = 8,797.85/61.03
  6. Step 6: Final answer
    x = 144.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.