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Finding the Third Proportional to 82,806 and 117,057

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Solution

The third proportional to 82,806 and 117,057 is: 165,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806 : 117,057 = 117,057 : x
  2. Step 2: Convert to fraction form
    82,806/117,057 = 117,057/x
  3. Step 3: Cross multiply
    82,806x = 117,057 × 117,057
  4. Step 4: Simplify right side
    82,806x = 13,702,341,249
  5. Step 5: Solve for x
    x = 13,702,341,249/82,806
  6. Step 6: Final answer
    x = 165,475.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.