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Finding the Third Proportional to 85,996 and 129,498

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Solution

The third proportional to 85,996 and 129,498 is: 195,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996 : 129,498 = 129,498 : x
  2. Step 2: Convert to fraction form
    85,996/129,498 = 129,498/x
  3. Step 3: Cross multiply
    85,996x = 129,498 × 129,498
  4. Step 4: Simplify right side
    85,996x = 16,769,732,004
  5. Step 5: Solve for x
    x = 16,769,732,004/85,996
  6. Step 6: Final answer
    x = 195,005.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.