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Finding the Third Proportional to 76.99 and 117.07

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Solution

The third proportional to 76.99 and 117.07 is: 178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.99 : 117.07 = 117.07 : x
  2. Step 2: Convert to fraction form
    76.99/117.07 = 117.07/x
  3. Step 3: Cross multiply
    76.99x = 117.07 × 117.07
  4. Step 4: Simplify right side
    76.99x = 13,705.46
  5. Step 5: Solve for x
    x = 13,705.46/76.99
  6. Step 6: Final answer
    x = 178.01

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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.