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Finding the Third Proportional to 115.75 and 130.94

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Solution

The third proportional to 115.75 and 130.94 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 130.94 = 130.94 : x
  2. Step 2: Convert to fraction form
    115.75/130.94 = 130.94/x
  3. Step 3: Cross multiply
    115.75x = 130.94 × 130.94
  4. Step 4: Simplify right side
    115.75x = 17,144.63
  5. Step 5: Solve for x
    x = 17,144.63/115.75
  6. Step 6: Final answer
    x = 148.12

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.