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Finding the Third Proportional to 27,196 and 58,360

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Solution

The third proportional to 27,196 and 58,360 is: 125,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196 : 58,360 = 58,360 : x
  2. Step 2: Convert to fraction form
    27,196/58,360 = 58,360/x
  3. Step 3: Cross multiply
    27,196x = 58,360 × 58,360
  4. Step 4: Simplify right side
    27,196x = 3,405,889,600
  5. Step 5: Solve for x
    x = 3,405,889,600/27,196
  6. Step 6: Final answer
    x = 125,234.95

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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.