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Finding the Third Proportional to 34,083.56 and 71,299.13

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Solution

The third proportional to 34,083.56 and 71,299.13 is: 149,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083.56 : 71,299.13 = 71,299.13 : x
  2. Step 2: Convert to fraction form
    34,083.56/71,299.13 = 71,299.13/x
  3. Step 3: Cross multiply
    34,083.56x = 71,299.13 × 71,299.13
  4. Step 4: Simplify right side
    34,083.56x = 5,083,565,225.77
  5. Step 5: Solve for x
    x = 5,083,565,225.77/34,083.56
  6. Step 6: Final answer
    x = 149,150.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.