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Finding the Third Proportional to 70,844 and 108,543

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Solution

The third proportional to 70,844 and 108,543 is: 166,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,844 : 108,543 = 108,543 : x
  2. Step 2: Convert to fraction form
    70,844/108,543 = 108,543/x
  3. Step 3: Cross multiply
    70,844x = 108,543 × 108,543
  4. Step 4: Simplify right side
    70,844x = 11,781,582,849
  5. Step 5: Solve for x
    x = 11,781,582,849/70,844
  6. Step 6: Final answer
    x = 166,303.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.