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Finding the Third Proportional to 51,177 and 77,560.50

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Solution

The third proportional to 51,177 and 77,560.50 is: 117,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177 : 77,560.50 = 77,560.50 : x
  2. Step 2: Convert to fraction form
    51,177/77,560.50 = 77,560.50/x
  3. Step 3: Cross multiply
    51,177x = 77,560.50 × 77,560.50
  4. Step 4: Simplify right side
    51,177x = 6,015,631,160.25
  5. Step 5: Solve for x
    x = 6,015,631,160.25/51,177
  6. Step 6: Final answer
    x = 117,545.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.