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Finding the Third Proportional to 42,505 and 88,544

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Solution

The third proportional to 42,505 and 88,544 is: 184,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,505 : 88,544 = 88,544 : x
  2. Step 2: Convert to fraction form
    42,505/88,544 = 88,544/x
  3. Step 3: Cross multiply
    42,505x = 88,544 × 88,544
  4. Step 4: Simplify right side
    42,505x = 7,840,039,936
  5. Step 5: Solve for x
    x = 7,840,039,936/42,505
  6. Step 6: Final answer
    x = 184,449.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.