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Finding the Third Proportional to 74.25 and 117.38

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Solution

The third proportional to 74.25 and 117.38 is: 185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 117.38 = 117.38 : x
  2. Step 2: Convert to fraction form
    74.25/117.38 = 117.38/x
  3. Step 3: Cross multiply
    74.25x = 117.38 × 117.38
  4. Step 4: Simplify right side
    74.25x = 13,776.89
  5. Step 5: Solve for x
    x = 13,776.89/74.25
  6. Step 6: Final answer
    x = 185.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.