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Finding the Third Proportional to 77,529 and 122,965.50

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Solution

The third proportional to 77,529 and 122,965.50 is: 195,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,529 : 122,965.50 = 122,965.50 : x
  2. Step 2: Convert to fraction form
    77,529/122,965.50 = 122,965.50/x
  3. Step 3: Cross multiply
    77,529x = 122,965.50 × 122,965.50
  4. Step 4: Simplify right side
    77,529x = 15,120,514,190.25
  5. Step 5: Solve for x
    x = 15,120,514,190.25/77,529
  6. Step 6: Final answer
    x = 195,030.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.