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Finding the Third Proportional to 69,300 and 108,006

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Solution

The third proportional to 69,300 and 108,006 is: 168,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,300 : 108,006 = 108,006 : x
  2. Step 2: Convert to fraction form
    69,300/108,006 = 108,006/x
  3. Step 3: Cross multiply
    69,300x = 108,006 × 108,006
  4. Step 4: Simplify right side
    69,300x = 11,665,296,036
  5. Step 5: Solve for x
    x = 11,665,296,036/69,300
  6. Step 6: Final answer
    x = 168,330.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.