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Finding the Third Proportional to 73.63 and 116.38

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Solution

The third proportional to 73.63 and 116.38 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.63 : 116.38 = 116.38 : x
  2. Step 2: Convert to fraction form
    73.63/116.38 = 116.38/x
  3. Step 3: Cross multiply
    73.63x = 116.38 × 116.38
  4. Step 4: Simplify right side
    73.63x = 13,543.14
  5. Step 5: Solve for x
    x = 13,543.14/73.63
  6. Step 6: Final answer
    x = 183.95

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