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Finding the Third Proportional to 83,914 and 117,324

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Solution

The third proportional to 83,914 and 117,324 is: 164,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914 : 117,324 = 117,324 : x
  2. Step 2: Convert to fraction form
    83,914/117,324 = 117,324/x
  3. Step 3: Cross multiply
    83,914x = 117,324 × 117,324
  4. Step 4: Simplify right side
    83,914x = 13,764,920,976
  5. Step 5: Solve for x
    x = 13,764,920,976/83,914
  6. Step 6: Final answer
    x = 164,036.05

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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.