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Finding the Third Proportional to 66.45 and 97.77

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Solution

The third proportional to 66.45 and 97.77 is: 143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.45 : 97.77 = 97.77 : x
  2. Step 2: Convert to fraction form
    66.45/97.77 = 97.77/x
  3. Step 3: Cross multiply
    66.45x = 97.77 × 97.77
  4. Step 4: Simplify right side
    66.45x = 9,558.88
  5. Step 5: Solve for x
    x = 9,558.88/66.45
  6. Step 6: Final answer
    x = 143.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.