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Finding the Third Proportional to 54.65 and 96.46

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Solution

The third proportional to 54.65 and 96.46 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.65 : 96.46 = 96.46 : x
  2. Step 2: Convert to fraction form
    54.65/96.46 = 96.46/x
  3. Step 3: Cross multiply
    54.65x = 96.46 × 96.46
  4. Step 4: Simplify right side
    54.65x = 9,303.96
  5. Step 5: Solve for x
    x = 9,303.96/54.65
  6. Step 6: Final answer
    x = 170.25

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.