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Finding the Third Proportional to 39,196 and 84,536

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Solution

The third proportional to 39,196 and 84,536 is: 182,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196 : 84,536 = 84,536 : x
  2. Step 2: Convert to fraction form
    39,196/84,536 = 84,536/x
  3. Step 3: Cross multiply
    39,196x = 84,536 × 84,536
  4. Step 4: Simplify right side
    39,196x = 7,146,335,296
  5. Step 5: Solve for x
    x = 7,146,335,296/39,196
  6. Step 6: Final answer
    x = 182,323.08

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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.