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Finding the Third Proportional to 51,111 and 77,589

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Solution

The third proportional to 51,111 and 77,589 is: 117,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 77,589 = 77,589 : x
  2. Step 2: Convert to fraction form
    51,111/77,589 = 77,589/x
  3. Step 3: Cross multiply
    51,111x = 77,589 × 77,589
  4. Step 4: Simplify right side
    51,111x = 6,020,052,921
  5. Step 5: Solve for x
    x = 6,020,052,921/51,111
  6. Step 6: Final answer
    x = 117,783.90

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Why These Related Problems?

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