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Finding the Third Proportional to 101,757 and 149,586.75

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Solution

The third proportional to 101,757 and 149,586.75 is: 219,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757 : 149,586.75 = 149,586.75 : x
  2. Step 2: Convert to fraction form
    101,757/149,586.75 = 149,586.75/x
  3. Step 3: Cross multiply
    101,757x = 149,586.75 × 149,586.75
  4. Step 4: Simplify right side
    101,757x = 22,376,195,775.56
  5. Step 5: Solve for x
    x = 22,376,195,775.56/101,757
  6. Step 6: Final answer
    x = 219,898.34

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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.