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Finding the Third Proportional to 93,530 and 136,979

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Solution

The third proportional to 93,530 and 136,979 is: 200,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,530 : 136,979 = 136,979 : x
  2. Step 2: Convert to fraction form
    93,530/136,979 = 136,979/x
  3. Step 3: Cross multiply
    93,530x = 136,979 × 136,979
  4. Step 4: Simplify right side
    93,530x = 18,763,246,441
  5. Step 5: Solve for x
    x = 18,763,246,441/93,530
  6. Step 6: Final answer
    x = 200,612.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.