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Finding the Third Proportional to 103,940 and 161,994

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Solution

The third proportional to 103,940 and 161,994 is: 252,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,940 : 161,994 = 161,994 : x
  2. Step 2: Convert to fraction form
    103,940/161,994 = 161,994/x
  3. Step 3: Cross multiply
    103,940x = 161,994 × 161,994
  4. Step 4: Simplify right side
    103,940x = 26,242,056,036
  5. Step 5: Solve for x
    x = 26,242,056,036/103,940
  6. Step 6: Final answer
    x = 252,473.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.