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Finding the Third Proportional to 34,189.88 and 73,846.13

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Solution

The third proportional to 34,189.88 and 73,846.13 is: 159,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.88 : 73,846.13 = 73,846.13 : x
  2. Step 2: Convert to fraction form
    34,189.88/73,846.13 = 73,846.13/x
  3. Step 3: Cross multiply
    34,189.88x = 73,846.13 × 73,846.13
  4. Step 4: Simplify right side
    34,189.88x = 5,453,250,177.52
  5. Step 5: Solve for x
    x = 5,453,250,177.52/34,189.88
  6. Step 6: Final answer
    x = 159,498.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.