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Finding the Third Proportional to 93,986 and 145,751

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Solution

The third proportional to 93,986 and 145,751 is: 226,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,986 : 145,751 = 145,751 : x
  2. Step 2: Convert to fraction form
    93,986/145,751 = 145,751/x
  3. Step 3: Cross multiply
    93,986x = 145,751 × 145,751
  4. Step 4: Simplify right side
    93,986x = 21,243,354,001
  5. Step 5: Solve for x
    x = 21,243,354,001/93,986
  6. Step 6: Final answer
    x = 226,026.79

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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.