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Finding the Third Proportional to 60.12 and 95.70

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Solution

The third proportional to 60.12 and 95.70 is: 152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.12 : 95.70 = 95.70 : x
  2. Step 2: Convert to fraction form
    60.12/95.70 = 95.70/x
  3. Step 3: Cross multiply
    60.12x = 95.70 × 95.70
  4. Step 4: Simplify right side
    60.12x = 9,157.59
  5. Step 5: Solve for x
    x = 9,157.59/60.12
  6. Step 6: Final answer
    x = 152.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.