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Finding the Third Proportional to 83,884.50 and 117,582.75

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Solution

The third proportional to 83,884.50 and 117,582.75 is: 164,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884.50 : 117,582.75 = 117,582.75 : x
  2. Step 2: Convert to fraction form
    83,884.50/117,582.75 = 117,582.75/x
  3. Step 3: Cross multiply
    83,884.50x = 117,582.75 × 117,582.75
  4. Step 4: Simplify right side
    83,884.50x = 13,825,703,097.56
  5. Step 5: Solve for x
    x = 13,825,703,097.56/83,884.50
  6. Step 6: Final answer
    x = 164,818.33

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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.