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Finding the Third Proportional to 95,258 and 143,751

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Solution

The third proportional to 95,258 and 143,751 is: 216,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 143,751 = 143,751 : x
  2. Step 2: Convert to fraction form
    95,258/143,751 = 143,751/x
  3. Step 3: Cross multiply
    95,258x = 143,751 × 143,751
  4. Step 4: Simplify right side
    95,258x = 20,664,350,001
  5. Step 5: Solve for x
    x = 20,664,350,001/95,258
  6. Step 6: Final answer
    x = 216,930.34

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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.