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Finding the Third Proportional to 39,194 and 84,532

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Solution

The third proportional to 39,194 and 84,532 is: 182,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194 : 84,532 = 84,532 : x
  2. Step 2: Convert to fraction form
    39,194/84,532 = 84,532/x
  3. Step 3: Cross multiply
    39,194x = 84,532 × 84,532
  4. Step 4: Simplify right side
    39,194x = 7,145,659,024
  5. Step 5: Solve for x
    x = 7,145,659,024/39,194
  6. Step 6: Final answer
    x = 182,315.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.