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Finding the Third Proportional to 65.69 and 98.56

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Solution

The third proportional to 65.69 and 98.56 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.69 : 98.56 = 98.56 : x
  2. Step 2: Convert to fraction form
    65.69/98.56 = 98.56/x
  3. Step 3: Cross multiply
    65.69x = 98.56 × 98.56
  4. Step 4: Simplify right side
    65.69x = 9,714.57
  5. Step 5: Solve for x
    x = 9,714.57/65.69
  6. Step 6: Final answer
    x = 147.89

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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.