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Finding the Third Proportional to 54.19 and 83.53

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Solution

The third proportional to 54.19 and 83.53 is: 128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 83.53 = 83.53 : x
  2. Step 2: Convert to fraction form
    54.19/83.53 = 83.53/x
  3. Step 3: Cross multiply
    54.19x = 83.53 × 83.53
  4. Step 4: Simplify right side
    54.19x = 6,977.47
  5. Step 5: Solve for x
    x = 6,977.47/54.19
  6. Step 6: Final answer
    x = 128.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.