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Finding the Third Proportional to 72.98 and 115.59

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Solution

The third proportional to 72.98 and 115.59 is: 183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.98 : 115.59 = 115.59 : x
  2. Step 2: Convert to fraction form
    72.98/115.59 = 115.59/x
  3. Step 3: Cross multiply
    72.98x = 115.59 × 115.59
  4. Step 4: Simplify right side
    72.98x = 13,361.92
  5. Step 5: Solve for x
    x = 13,361.92/72.98
  6. Step 6: Final answer
    x = 183.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.