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Finding the Third Proportional to 77,027.68 and 114,902.93

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Solution

The third proportional to 77,027.68 and 114,902.93 is: 171,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027.68 : 114,902.93 = 114,902.93 : x
  2. Step 2: Convert to fraction form
    77,027.68/114,902.93 = 114,902.93/x
  3. Step 3: Cross multiply
    77,027.68x = 114,902.93 × 114,902.93
  4. Step 4: Simplify right side
    77,027.68x = 13,202,683,250.77
  5. Step 5: Solve for x
    x = 13,202,683,250.77/77,027.68
  6. Step 6: Final answer
    x = 171,401.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.