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Finding the Third Proportional to 93,247 and 140,645

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Solution

The third proportional to 93,247 and 140,645 is: 212,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,247 : 140,645 = 140,645 : x
  2. Step 2: Convert to fraction form
    93,247/140,645 = 140,645/x
  3. Step 3: Cross multiply
    93,247x = 140,645 × 140,645
  4. Step 4: Simplify right side
    93,247x = 19,781,016,025
  5. Step 5: Solve for x
    x = 19,781,016,025/93,247
  6. Step 6: Final answer
    x = 212,135.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.