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Finding the Third Proportional to 65.91 and 98.53

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Solution

The third proportional to 65.91 and 98.53 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.91 : 98.53 = 98.53 : x
  2. Step 2: Convert to fraction form
    65.91/98.53 = 98.53/x
  3. Step 3: Cross multiply
    65.91x = 98.53 × 98.53
  4. Step 4: Simplify right side
    65.91x = 9,708.41
  5. Step 5: Solve for x
    x = 9,708.41/65.91
  6. Step 6: Final answer
    x = 147.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.