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Finding the Third Proportional to 117,726 and 165,859

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Solution

The third proportional to 117,726 and 165,859 is: 233,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,726 : 165,859 = 165,859 : x
  2. Step 2: Convert to fraction form
    117,726/165,859 = 165,859/x
  3. Step 3: Cross multiply
    117,726x = 165,859 × 165,859
  4. Step 4: Simplify right side
    117,726x = 27,509,207,881
  5. Step 5: Solve for x
    x = 27,509,207,881/117,726
  6. Step 6: Final answer
    x = 233,671.47

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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.