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Finding the Third Proportional to 77,900.48 and 122,027.77

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Solution

The third proportional to 77,900.48 and 122,027.77 is: 191,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900.48 : 122,027.77 = 122,027.77 : x
  2. Step 2: Convert to fraction form
    77,900.48/122,027.77 = 122,027.77/x
  3. Step 3: Cross multiply
    77,900.48x = 122,027.77 × 122,027.77
  4. Step 4: Simplify right side
    77,900.48x = 14,890,775,583.43
  5. Step 5: Solve for x
    x = 14,890,775,583.43/77,900.48
  6. Step 6: Final answer
    x = 191,151.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.