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Finding the Third Proportional to 77,868 and 120,305

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Solution

The third proportional to 77,868 and 120,305 is: 185,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,868 : 120,305 = 120,305 : x
  2. Step 2: Convert to fraction form
    77,868/120,305 = 120,305/x
  3. Step 3: Cross multiply
    77,868x = 120,305 × 120,305
  4. Step 4: Simplify right side
    77,868x = 14,473,293,025
  5. Step 5: Solve for x
    x = 14,473,293,025/77,868
  6. Step 6: Final answer
    x = 185,869.59

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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.