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Finding the Third Proportional to 69,706 and 106,650

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Solution

The third proportional to 69,706 and 106,650 is: 163,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706 : 106,650 = 106,650 : x
  2. Step 2: Convert to fraction form
    69,706/106,650 = 106,650/x
  3. Step 3: Cross multiply
    69,706x = 106,650 × 106,650
  4. Step 4: Simplify right side
    69,706x = 11,374,222,500
  5. Step 5: Solve for x
    x = 11,374,222,500/69,706
  6. Step 6: Final answer
    x = 163,174.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.