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Finding the Third Proportional to 72,917 and 159,010

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Solution

The third proportional to 72,917 and 159,010 is: 346,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,917 : 159,010 = 159,010 : x
  2. Step 2: Convert to fraction form
    72,917/159,010 = 159,010/x
  3. Step 3: Cross multiply
    72,917x = 159,010 × 159,010
  4. Step 4: Simplify right side
    72,917x = 25,284,180,100
  5. Step 5: Solve for x
    x = 25,284,180,100/72,917
  6. Step 6: Final answer
    x = 346,752.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.