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Finding the Third Proportional to 51,909.75 and 81,553.75

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Solution

The third proportional to 51,909.75 and 81,553.75 is: 128,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.75 : 81,553.75 = 81,553.75 : x
  2. Step 2: Convert to fraction form
    51,909.75/81,553.75 = 81,553.75/x
  3. Step 3: Cross multiply
    51,909.75x = 81,553.75 × 81,553.75
  4. Step 4: Simplify right side
    51,909.75x = 6,651,014,139.06
  5. Step 5: Solve for x
    x = 6,651,014,139.06/51,909.75
  6. Step 6: Final answer
    x = 128,126.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.