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Finding the Third Proportional to 39,798 and 86,156

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Solution

The third proportional to 39,798 and 86,156 is: 186,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 86,156 = 86,156 : x
  2. Step 2: Convert to fraction form
    39,798/86,156 = 86,156/x
  3. Step 3: Cross multiply
    39,798x = 86,156 × 86,156
  4. Step 4: Simplify right side
    39,798x = 7,422,856,336
  5. Step 5: Solve for x
    x = 7,422,856,336/39,798
  6. Step 6: Final answer
    x = 186,513.30

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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.