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Finding the Third Proportional to 65.88 and 98.94

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Solution

The third proportional to 65.88 and 98.94 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.88 : 98.94 = 98.94 : x
  2. Step 2: Convert to fraction form
    65.88/98.94 = 98.94/x
  3. Step 3: Cross multiply
    65.88x = 98.94 × 98.94
  4. Step 4: Simplify right side
    65.88x = 9,788.63
  5. Step 5: Solve for x
    x = 9,788.63/65.88
  6. Step 6: Final answer
    x = 148.59

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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.