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Finding the Third Proportional to 73.13 and 111.63

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Solution

The third proportional to 73.13 and 111.63 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 111.63 = 111.63 : x
  2. Step 2: Convert to fraction form
    73.13/111.63 = 111.63/x
  3. Step 3: Cross multiply
    73.13x = 111.63 × 111.63
  4. Step 4: Simplify right side
    73.13x = 12,460.14
  5. Step 5: Solve for x
    x = 12,460.14/73.13
  6. Step 6: Final answer
    x = 170.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.