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Finding the Third Proportional to 64.65 and 96.77

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Solution

The third proportional to 64.65 and 96.77 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 96.77 = 96.77 : x
  2. Step 2: Convert to fraction form
    64.65/96.77 = 96.77/x
  3. Step 3: Cross multiply
    64.65x = 96.77 × 96.77
  4. Step 4: Simplify right side
    64.65x = 9,363.96
  5. Step 5: Solve for x
    x = 9,363.96/64.65
  6. Step 6: Final answer
    x = 144.84

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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.