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Finding the Third Proportional to 69,672 and 106,138

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Solution

The third proportional to 69,672 and 106,138 is: 161,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672 : 106,138 = 106,138 : x
  2. Step 2: Convert to fraction form
    69,672/106,138 = 106,138/x
  3. Step 3: Cross multiply
    69,672x = 106,138 × 106,138
  4. Step 4: Simplify right side
    69,672x = 11,265,275,044
  5. Step 5: Solve for x
    x = 11,265,275,044/69,672
  6. Step 6: Final answer
    x = 161,690.13

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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.