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Finding the Third Proportional to 74.51 and 112.01

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Solution

The third proportional to 74.51 and 112.01 is: 168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.51 : 112.01 = 112.01 : x
  2. Step 2: Convert to fraction form
    74.51/112.01 = 112.01/x
  3. Step 3: Cross multiply
    74.51x = 112.01 × 112.01
  4. Step 4: Simplify right side
    74.51x = 12,545.75
  5. Step 5: Solve for x
    x = 12,545.75/74.51
  6. Step 6: Final answer
    x = 168.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.