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Finding the Third Proportional to 117,967 and 187,637

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Solution

The third proportional to 117,967 and 187,637 is: 298,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,967 : 187,637 = 187,637 : x
  2. Step 2: Convert to fraction form
    117,967/187,637 = 187,637/x
  3. Step 3: Cross multiply
    117,967x = 187,637 × 187,637
  4. Step 4: Simplify right side
    117,967x = 35,207,643,769
  5. Step 5: Solve for x
    x = 35,207,643,769/117,967
  6. Step 6: Final answer
    x = 298,453.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.