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Finding the Third Proportional to 56,691.75 and 122,130.75

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Solution

The third proportional to 56,691.75 and 122,130.75 is: 263,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,691.75 : 122,130.75 = 122,130.75 : x
  2. Step 2: Convert to fraction form
    56,691.75/122,130.75 = 122,130.75/x
  3. Step 3: Cross multiply
    56,691.75x = 122,130.75 × 122,130.75
  4. Step 4: Simplify right side
    56,691.75x = 14,915,920,095.56
  5. Step 5: Solve for x
    x = 14,915,920,095.56/56,691.75
  6. Step 6: Final answer
    x = 263,105.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.