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Finding the Third Proportional to 117,009 and 165,557

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Solution

The third proportional to 117,009 and 165,557 is: 234,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 165,557 = 165,557 : x
  2. Step 2: Convert to fraction form
    117,009/165,557 = 165,557/x
  3. Step 3: Cross multiply
    117,009x = 165,557 × 165,557
  4. Step 4: Simplify right side
    117,009x = 27,409,120,249
  5. Step 5: Solve for x
    x = 27,409,120,249/117,009
  6. Step 6: Final answer
    x = 234,247.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.