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Finding the Third Proportional to 56,001 and 124,516.50

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Solution

The third proportional to 56,001 and 124,516.50 is: 276,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,001 : 124,516.50 = 124,516.50 : x
  2. Step 2: Convert to fraction form
    56,001/124,516.50 = 124,516.50/x
  3. Step 3: Cross multiply
    56,001x = 124,516.50 × 124,516.50
  4. Step 4: Simplify right side
    56,001x = 15,504,358,772.25
  5. Step 5: Solve for x
    x = 15,504,358,772.25/56,001
  6. Step 6: Final answer
    x = 276,858.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.