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Finding the Third Proportional to 83,686 and 117,052

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Solution

The third proportional to 83,686 and 117,052 is: 163,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686 : 117,052 = 117,052 : x
  2. Step 2: Convert to fraction form
    83,686/117,052 = 117,052/x
  3. Step 3: Cross multiply
    83,686x = 117,052 × 117,052
  4. Step 4: Simplify right side
    83,686x = 13,701,170,704
  5. Step 5: Solve for x
    x = 13,701,170,704/83,686
  6. Step 6: Final answer
    x = 163,721.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.