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Finding the Third Proportional to 60,940 and 135,884

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Solution

The third proportional to 60,940 and 135,884 is: 302,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,940 : 135,884 = 135,884 : x
  2. Step 2: Convert to fraction form
    60,940/135,884 = 135,884/x
  3. Step 3: Cross multiply
    60,940x = 135,884 × 135,884
  4. Step 4: Simplify right side
    60,940x = 18,464,461,456
  5. Step 5: Solve for x
    x = 18,464,461,456/60,940
  6. Step 6: Final answer
    x = 302,994.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.