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Finding the Third Proportional to 93,976 and 145,739

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Solution

The third proportional to 93,976 and 145,739 is: 226,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,976 : 145,739 = 145,739 : x
  2. Step 2: Convert to fraction form
    93,976/145,739 = 145,739/x
  3. Step 3: Cross multiply
    93,976x = 145,739 × 145,739
  4. Step 4: Simplify right side
    93,976x = 21,239,856,121
  5. Step 5: Solve for x
    x = 21,239,856,121/93,976
  6. Step 6: Final answer
    x = 226,013.62

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Why These Related Problems?

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