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Finding the Third Proportional to 51,610.21 and 78,128.92

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Solution

The third proportional to 51,610.21 and 78,128.92 is: 118,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610.21 : 78,128.92 = 78,128.92 : x
  2. Step 2: Convert to fraction form
    51,610.21/78,128.92 = 78,128.92/x
  3. Step 3: Cross multiply
    51,610.21x = 78,128.92 × 78,128.92
  4. Step 4: Simplify right side
    51,610.21x = 6,104,128,109.09
  5. Step 5: Solve for x
    x = 6,104,128,109.09/51,610.21
  6. Step 6: Final answer
    x = 118,273.65

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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.