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Finding the Third Proportional to 83,338.59 and 132,389.44

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Solution

The third proportional to 83,338.59 and 132,389.44 is: 210,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338.59 : 132,389.44 = 132,389.44 : x
  2. Step 2: Convert to fraction form
    83,338.59/132,389.44 = 132,389.44/x
  3. Step 3: Cross multiply
    83,338.59x = 132,389.44 × 132,389.44
  4. Step 4: Simplify right side
    83,338.59x = 17,526,963,161.57
  5. Step 5: Solve for x
    x = 17,526,963,161.57/83,338.59
  6. Step 6: Final answer
    x = 210,310.28

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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.