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Finding the Third Proportional to 83,726 and 117,112

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Solution

The third proportional to 83,726 and 117,112 is: 163,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726 : 117,112 = 117,112 : x
  2. Step 2: Convert to fraction form
    83,726/117,112 = 117,112/x
  3. Step 3: Cross multiply
    83,726x = 117,112 × 117,112
  4. Step 4: Simplify right side
    83,726x = 13,715,220,544
  5. Step 5: Solve for x
    x = 13,715,220,544/83,726
  6. Step 6: Final answer
    x = 163,810.77

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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.