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Finding the Third Proportional to 69,135 and 106,942.50

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Solution

The third proportional to 69,135 and 106,942.50 is: 165,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,135 : 106,942.50 = 106,942.50 : x
  2. Step 2: Convert to fraction form
    69,135/106,942.50 = 106,942.50/x
  3. Step 3: Cross multiply
    69,135x = 106,942.50 × 106,942.50
  4. Step 4: Simplify right side
    69,135x = 11,436,698,306.25
  5. Step 5: Solve for x
    x = 11,436,698,306.25/69,135
  6. Step 6: Final answer
    x = 165,425.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.