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Finding the Third Proportional to 107,009 and 158,973

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Solution

The third proportional to 107,009 and 158,973 is: 236,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,009 : 158,973 = 158,973 : x
  2. Step 2: Convert to fraction form
    107,009/158,973 = 158,973/x
  3. Step 3: Cross multiply
    107,009x = 158,973 × 158,973
  4. Step 4: Simplify right side
    107,009x = 25,272,414,729
  5. Step 5: Solve for x
    x = 25,272,414,729/107,009
  6. Step 6: Final answer
    x = 236,170.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.