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Finding the Third Proportional to 54.13 and 96.50

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Solution

The third proportional to 54.13 and 96.50 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.13 : 96.50 = 96.50 : x
  2. Step 2: Convert to fraction form
    54.13/96.50 = 96.50/x
  3. Step 3: Cross multiply
    54.13x = 96.50 × 96.50
  4. Step 4: Simplify right side
    54.13x = 9,312.25
  5. Step 5: Solve for x
    x = 9,312.25/54.13
  6. Step 6: Final answer
    x = 172.05

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.