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Finding the Third Proportional to 62,147 and 93,221

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Solution

The third proportional to 62,147 and 93,221 is: 139,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,147 : 93,221 = 93,221 : x
  2. Step 2: Convert to fraction form
    62,147/93,221 = 93,221/x
  3. Step 3: Cross multiply
    62,147x = 93,221 × 93,221
  4. Step 4: Simplify right side
    62,147x = 8,690,154,841
  5. Step 5: Solve for x
    x = 8,690,154,841/62,147
  6. Step 6: Final answer
    x = 139,832.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.