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Finding the Third Proportional to 120,716 and 191,105.75

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Solution

The third proportional to 120,716 and 191,105.75 is: 302,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,716 : 191,105.75 = 191,105.75 : x
  2. Step 2: Convert to fraction form
    120,716/191,105.75 = 191,105.75/x
  3. Step 3: Cross multiply
    120,716x = 191,105.75 × 191,105.75
  4. Step 4: Simplify right side
    120,716x = 36,521,407,683.06
  5. Step 5: Solve for x
    x = 36,521,407,683.06/120,716
  6. Step 6: Final answer
    x = 302,539.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.