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Finding the Third Proportional to 56,103.38 and 122,936.63

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Solution

The third proportional to 56,103.38 and 122,936.63 is: 269,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,103.38 : 122,936.63 = 122,936.63 : x
  2. Step 2: Convert to fraction form
    56,103.38/122,936.63 = 122,936.63/x
  3. Step 3: Cross multiply
    56,103.38x = 122,936.63 × 122,936.63
  4. Step 4: Simplify right side
    56,103.38x = 15,113,413,766.39
  5. Step 5: Solve for x
    x = 15,113,413,766.39/56,103.38
  6. Step 6: Final answer
    x = 269,385.11

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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.