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Finding the Third Proportional to 57,522 and 117,832

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Solution

The third proportional to 57,522 and 117,832 is: 241,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522 : 117,832 = 117,832 : x
  2. Step 2: Convert to fraction form
    57,522/117,832 = 117,832/x
  3. Step 3: Cross multiply
    57,522x = 117,832 × 117,832
  4. Step 4: Simplify right side
    57,522x = 13,884,380,224
  5. Step 5: Solve for x
    x = 13,884,380,224/57,522
  6. Step 6: Final answer
    x = 241,375.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.