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Finding the Third Proportional to 56,902.50 and 124,314.75

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Solution

The third proportional to 56,902.50 and 124,314.75 is: 271,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.50 : 124,314.75 = 124,314.75 : x
  2. Step 2: Convert to fraction form
    56,902.50/124,314.75 = 124,314.75/x
  3. Step 3: Cross multiply
    56,902.50x = 124,314.75 × 124,314.75
  4. Step 4: Simplify right side
    56,902.50x = 15,454,157,067.56
  5. Step 5: Solve for x
    x = 15,454,157,067.56/56,902.50
  6. Step 6: Final answer
    x = 271,590.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.