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Finding the Third Proportional to 93,204 and 119,718

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Solution

The third proportional to 93,204 and 119,718 is: 153,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,204 : 119,718 = 119,718 : x
  2. Step 2: Convert to fraction form
    93,204/119,718 = 119,718/x
  3. Step 3: Cross multiply
    93,204x = 119,718 × 119,718
  4. Step 4: Simplify right side
    93,204x = 14,332,399,524
  5. Step 5: Solve for x
    x = 14,332,399,524/93,204
  6. Step 6: Final answer
    x = 153,774.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.