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Finding the Third Proportional to 60.75 and 90.23

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Solution

The third proportional to 60.75 and 90.23 is: 134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 90.23 = 90.23 : x
  2. Step 2: Convert to fraction form
    60.75/90.23 = 90.23/x
  3. Step 3: Cross multiply
    60.75x = 90.23 × 90.23
  4. Step 4: Simplify right side
    60.75x = 8,142.24
  5. Step 5: Solve for x
    x = 8,142.24/60.75
  6. Step 6: Final answer
    x = 134.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.