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Finding the Third Proportional to 91,737 and 141,180.75

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Solution

The third proportional to 91,737 and 141,180.75 is: 217,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737 : 141,180.75 = 141,180.75 : x
  2. Step 2: Convert to fraction form
    91,737/141,180.75 = 141,180.75/x
  3. Step 3: Cross multiply
    91,737x = 141,180.75 × 141,180.75
  4. Step 4: Simplify right side
    91,737x = 19,932,004,170.56
  5. Step 5: Solve for x
    x = 19,932,004,170.56/91,737
  6. Step 6: Final answer
    x = 217,273.34

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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.