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Finding the Third Proportional to 93,217 and 144,605

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Solution

The third proportional to 93,217 and 144,605 is: 224,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,217 : 144,605 = 144,605 : x
  2. Step 2: Convert to fraction form
    93,217/144,605 = 144,605/x
  3. Step 3: Cross multiply
    93,217x = 144,605 × 144,605
  4. Step 4: Simplify right side
    93,217x = 20,910,606,025
  5. Step 5: Solve for x
    x = 20,910,606,025/93,217
  6. Step 6: Final answer
    x = 224,321.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.