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Finding the Third Proportional to 75.63 and 111.13

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Solution

The third proportional to 75.63 and 111.13 is: 163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 111.13 = 111.13 : x
  2. Step 2: Convert to fraction form
    75.63/111.13 = 111.13/x
  3. Step 3: Cross multiply
    75.63x = 111.13 × 111.13
  4. Step 4: Simplify right side
    75.63x = 12,348.77
  5. Step 5: Solve for x
    x = 12,348.77/75.63
  6. Step 6: Final answer
    x = 163.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.