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Finding the Third Proportional to 91,256 and 133,731

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Solution

The third proportional to 91,256 and 133,731 is: 195,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,256 : 133,731 = 133,731 : x
  2. Step 2: Convert to fraction form
    91,256/133,731 = 133,731/x
  3. Step 3: Cross multiply
    91,256x = 133,731 × 133,731
  4. Step 4: Simplify right side
    91,256x = 17,883,980,361
  5. Step 5: Solve for x
    x = 17,883,980,361/91,256
  6. Step 6: Final answer
    x = 195,975.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.