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Finding the Third Proportional to 77,731 and 120,032

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Solution

The third proportional to 77,731 and 120,032 is: 185,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,731 : 120,032 = 120,032 : x
  2. Step 2: Convert to fraction form
    77,731/120,032 = 120,032/x
  3. Step 3: Cross multiply
    77,731x = 120,032 × 120,032
  4. Step 4: Simplify right side
    77,731x = 14,407,681,024
  5. Step 5: Solve for x
    x = 14,407,681,024/77,731
  6. Step 6: Final answer
    x = 185,353.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.