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Finding the Third Proportional to 27,097 and 60,329

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Solution

The third proportional to 27,097 and 60,329 is: 134,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 60,329 = 60,329 : x
  2. Step 2: Convert to fraction form
    27,097/60,329 = 60,329/x
  3. Step 3: Cross multiply
    27,097x = 60,329 × 60,329
  4. Step 4: Simplify right side
    27,097x = 3,639,588,241
  5. Step 5: Solve for x
    x = 3,639,588,241/27,097
  6. Step 6: Final answer
    x = 134,317.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.