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Finding the Third Proportional to 71,174.25 and 106,599.38

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Solution

The third proportional to 71,174.25 and 106,599.38 is: 159,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174.25 : 106,599.38 = 106,599.38 : x
  2. Step 2: Convert to fraction form
    71,174.25/106,599.38 = 106,599.38/x
  3. Step 3: Cross multiply
    71,174.25x = 106,599.38 × 106,599.38
  4. Step 4: Simplify right side
    71,174.25x = 11,363,426,750.39
  5. Step 5: Solve for x
    x = 11,363,426,750.39/71,174.25
  6. Step 6: Final answer
    x = 159,656.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.