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Finding the Third Proportional to 77,762 and 117,723

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Solution

The third proportional to 77,762 and 117,723 is: 178,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 117,723 = 117,723 : x
  2. Step 2: Convert to fraction form
    77,762/117,723 = 117,723/x
  3. Step 3: Cross multiply
    77,762x = 117,723 × 117,723
  4. Step 4: Simplify right side
    77,762x = 13,858,704,729
  5. Step 5: Solve for x
    x = 13,858,704,729/77,762
  6. Step 6: Final answer
    x = 178,219.50

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Why These Related Problems?

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