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Finding the Third Proportional to 56,505.75 and 124,311.38

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Solution

The third proportional to 56,505.75 and 124,311.38 is: 273,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505.75 : 124,311.38 = 124,311.38 : x
  2. Step 2: Convert to fraction form
    56,505.75/124,311.38 = 124,311.38/x
  3. Step 3: Cross multiply
    56,505.75x = 124,311.38 × 124,311.38
  4. Step 4: Simplify right side
    56,505.75x = 15,453,317,954.39
  5. Step 5: Solve for x
    x = 15,453,317,954.39/56,505.75
  6. Step 6: Final answer
    x = 273,482.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.