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Finding the Third Proportional to 118,963 and 191,261

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Solution

The third proportional to 118,963 and 191,261 is: 307,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963 : 191,261 = 191,261 : x
  2. Step 2: Convert to fraction form
    118,963/191,261 = 191,261/x
  3. Step 3: Cross multiply
    118,963x = 191,261 × 191,261
  4. Step 4: Simplify right side
    118,963x = 36,580,770,121
  5. Step 5: Solve for x
    x = 36,580,770,121/118,963
  6. Step 6: Final answer
    x = 307,497.04

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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.