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Finding the Third Proportional to 76.59 and 114.84

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Solution

The third proportional to 76.59 and 114.84 is: 172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.59 : 114.84 = 114.84 : x
  2. Step 2: Convert to fraction form
    76.59/114.84 = 114.84/x
  3. Step 3: Cross multiply
    76.59x = 114.84 × 114.84
  4. Step 4: Simplify right side
    76.59x = 13,189.09
  5. Step 5: Solve for x
    x = 13,189.09/76.59
  6. Step 6: Final answer
    x = 172.20

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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.