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Finding the Third Proportional to 62,196.50 and 134,217

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Solution

The third proportional to 62,196.50 and 134,217 is: 289,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,196.50 : 134,217 = 134,217 : x
  2. Step 2: Convert to fraction form
    62,196.50/134,217 = 134,217/x
  3. Step 3: Cross multiply
    62,196.50x = 134,217 × 134,217
  4. Step 4: Simplify right side
    62,196.50x = 18,014,203,089
  5. Step 5: Solve for x
    x = 18,014,203,089/62,196.50
  6. Step 6: Final answer
    x = 289,633.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.