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Finding the Third Proportional to 86,531 and 129,797

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Solution

The third proportional to 86,531 and 129,797 is: 194,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,531 : 129,797 = 129,797 : x
  2. Step 2: Convert to fraction form
    86,531/129,797 = 129,797/x
  3. Step 3: Cross multiply
    86,531x = 129,797 × 129,797
  4. Step 4: Simplify right side
    86,531x = 16,847,261,209
  5. Step 5: Solve for x
    x = 16,847,261,209/86,531
  6. Step 6: Final answer
    x = 194,696.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.