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Finding the Third Proportional to 69,612 and 106,050

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Solution

The third proportional to 69,612 and 106,050 is: 161,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,612 : 106,050 = 106,050 : x
  2. Step 2: Convert to fraction form
    69,612/106,050 = 106,050/x
  3. Step 3: Cross multiply
    69,612x = 106,050 × 106,050
  4. Step 4: Simplify right side
    69,612x = 11,246,602,500
  5. Step 5: Solve for x
    x = 11,246,602,500/69,612
  6. Step 6: Final answer
    x = 161,561.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.