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Finding the Third Proportional to 76.88 and 116.63

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Solution

The third proportional to 76.88 and 116.63 is: 176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 116.63 = 116.63 : x
  2. Step 2: Convert to fraction form
    76.88/116.63 = 116.63/x
  3. Step 3: Cross multiply
    76.88x = 116.63 × 116.63
  4. Step 4: Simplify right side
    76.88x = 13,601.39
  5. Step 5: Solve for x
    x = 13,601.39/76.88
  6. Step 6: Final answer
    x = 176.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.