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Finding the Third Proportional to 55,782 and 116,076.38

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Solution

The third proportional to 55,782 and 116,076.38 is: 241,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 116,076.38 = 116,076.38 : x
  2. Step 2: Convert to fraction form
    55,782/116,076.38 = 116,076.38/x
  3. Step 3: Cross multiply
    55,782x = 116,076.38 × 116,076.38
  4. Step 4: Simplify right side
    55,782x = 13,473,724,833.14
  5. Step 5: Solve for x
    x = 13,473,724,833.14/55,782
  6. Step 6: Final answer
    x = 241,542.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.