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Finding the Third Proportional to 56,684 and 124,132

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Solution

The third proportional to 56,684 and 124,132 is: 271,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,684 : 124,132 = 124,132 : x
  2. Step 2: Convert to fraction form
    56,684/124,132 = 124,132/x
  3. Step 3: Cross multiply
    56,684x = 124,132 × 124,132
  4. Step 4: Simplify right side
    56,684x = 15,408,753,424
  5. Step 5: Solve for x
    x = 15,408,753,424/56,684
  6. Step 6: Final answer
    x = 271,836.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.