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Finding the Third Proportional to 34,040.25 and 78,134.63

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Solution

The third proportional to 34,040.25 and 78,134.63 is: 179,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.25 : 78,134.63 = 78,134.63 : x
  2. Step 2: Convert to fraction form
    34,040.25/78,134.63 = 78,134.63/x
  3. Step 3: Cross multiply
    34,040.25x = 78,134.63 × 78,134.63
  4. Step 4: Simplify right side
    34,040.25x = 6,105,019,623.89
  5. Step 5: Solve for x
    x = 6,105,019,623.89/34,040.25
  6. Step 6: Final answer
    x = 179,347.09

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.