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Finding the Third Proportional to 55,009.13 and 83,128.78

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Solution

The third proportional to 55,009.13 and 83,128.78 is: 125,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.13 : 83,128.78 = 83,128.78 : x
  2. Step 2: Convert to fraction form
    55,009.13/83,128.78 = 83,128.78/x
  3. Step 3: Cross multiply
    55,009.13x = 83,128.78 × 83,128.78
  4. Step 4: Simplify right side
    55,009.13x = 6,910,394,272.11
  5. Step 5: Solve for x
    x = 6,910,394,272.11/55,009.13
  6. Step 6: Final answer
    x = 125,622.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.