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Finding the Third Proportional to 58,175.44 and 125,634.38

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Solution

The third proportional to 58,175.44 and 125,634.38 is: 271,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,175.44 : 125,634.38 = 125,634.38 : x
  2. Step 2: Convert to fraction form
    58,175.44/125,634.38 = 125,634.38/x
  3. Step 3: Cross multiply
    58,175.44x = 125,634.38 × 125,634.38
  4. Step 4: Simplify right side
    58,175.44x = 15,783,996,181.64
  5. Step 5: Solve for x
    x = 15,783,996,181.64/58,175.44
  6. Step 6: Final answer
    x = 271,317.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.