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Finding the Third Proportional to 59.38 and 127.93

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Solution

The third proportional to 59.38 and 127.93 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.38 : 127.93 = 127.93 : x
  2. Step 2: Convert to fraction form
    59.38/127.93 = 127.93/x
  3. Step 3: Cross multiply
    59.38x = 127.93 × 127.93
  4. Step 4: Simplify right side
    59.38x = 16,367.00
  5. Step 5: Solve for x
    x = 16,367.00/59.38
  6. Step 6: Final answer
    x = 275.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.