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Finding the Third Proportional to 77,477 and 117,759

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Solution

The third proportional to 77,477 and 117,759 is: 178,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477 : 117,759 = 117,759 : x
  2. Step 2: Convert to fraction form
    77,477/117,759 = 117,759/x
  3. Step 3: Cross multiply
    77,477x = 117,759 × 117,759
  4. Step 4: Simplify right side
    77,477x = 13,867,182,081
  5. Step 5: Solve for x
    x = 13,867,182,081/77,477
  6. Step 6: Final answer
    x = 178,984.50

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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.