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Finding the Third Proportional to 118,881 and 191,160

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Solution

The third proportional to 118,881 and 191,160 is: 307,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,881 : 191,160 = 191,160 : x
  2. Step 2: Convert to fraction form
    118,881/191,160 = 191,160/x
  3. Step 3: Cross multiply
    118,881x = 191,160 × 191,160
  4. Step 4: Simplify right side
    118,881x = 36,542,145,600
  5. Step 5: Solve for x
    x = 36,542,145,600/118,881
  6. Step 6: Final answer
    x = 307,384.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.