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Finding the Third Proportional to 115.78 and 187.03

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Solution

The third proportional to 115.78 and 187.03 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 187.03 = 187.03 : x
  2. Step 2: Convert to fraction form
    115.78/187.03 = 187.03/x
  3. Step 3: Cross multiply
    115.78x = 187.03 × 187.03
  4. Step 4: Simplify right side
    115.78x = 34,980.69
  5. Step 5: Solve for x
    x = 34,980.69/115.78
  6. Step 6: Final answer
    x = 302.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.