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Finding the Third Proportional to 76.64 and 115.03

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Solution

The third proportional to 76.64 and 115.03 is: 172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 115.03 = 115.03 : x
  2. Step 2: Convert to fraction form
    76.64/115.03 = 115.03/x
  3. Step 3: Cross multiply
    76.64x = 115.03 × 115.03
  4. Step 4: Simplify right side
    76.64x = 13,232.19
  5. Step 5: Solve for x
    x = 13,232.19/76.64
  6. Step 6: Final answer
    x = 172.65

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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.