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Finding the Third Proportional to 70,161 and 104,940

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Solution

The third proportional to 70,161 and 104,940 is: 156,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161 : 104,940 = 104,940 : x
  2. Step 2: Convert to fraction form
    70,161/104,940 = 104,940/x
  3. Step 3: Cross multiply
    70,161x = 104,940 × 104,940
  4. Step 4: Simplify right side
    70,161x = 11,012,403,600
  5. Step 5: Solve for x
    x = 11,012,403,600/70,161
  6. Step 6: Final answer
    x = 156,959.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.