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Finding the Third Proportional to 82,899 and 131,466

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Solution

The third proportional to 82,899 and 131,466 is: 208,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,899 : 131,466 = 131,466 : x
  2. Step 2: Convert to fraction form
    82,899/131,466 = 131,466/x
  3. Step 3: Cross multiply
    82,899x = 131,466 × 131,466
  4. Step 4: Simplify right side
    82,899x = 17,283,309,156
  5. Step 5: Solve for x
    x = 17,283,309,156/82,899
  6. Step 6: Final answer
    x = 208,486.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.