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Finding the Third Proportional to 81,715 and 114,576

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Solution

The third proportional to 81,715 and 114,576 is: 160,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,715 : 114,576 = 114,576 : x
  2. Step 2: Convert to fraction form
    81,715/114,576 = 114,576/x
  3. Step 3: Cross multiply
    81,715x = 114,576 × 114,576
  4. Step 4: Simplify right side
    81,715x = 13,127,659,776
  5. Step 5: Solve for x
    x = 13,127,659,776/81,715
  6. Step 6: Final answer
    x = 160,651.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.