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Finding the Third Proportional to 107,644 and 168,006

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Solution

The third proportional to 107,644 and 168,006 is: 262,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,644 : 168,006 = 168,006 : x
  2. Step 2: Convert to fraction form
    107,644/168,006 = 168,006/x
  3. Step 3: Cross multiply
    107,644x = 168,006 × 168,006
  4. Step 4: Simplify right side
    107,644x = 28,226,016,036
  5. Step 5: Solve for x
    x = 28,226,016,036/107,644
  6. Step 6: Final answer
    x = 262,216.34

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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.