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Finding the Third Proportional to 73.04 and 115.62

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Solution

The third proportional to 73.04 and 115.62 is: 183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.04 : 115.62 = 115.62 : x
  2. Step 2: Convert to fraction form
    73.04/115.62 = 115.62/x
  3. Step 3: Cross multiply
    73.04x = 115.62 × 115.62
  4. Step 4: Simplify right side
    73.04x = 13,368.01
  5. Step 5: Solve for x
    x = 13,368.01/73.04
  6. Step 6: Final answer
    x = 183.03

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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.