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Finding the Third Proportional to 101,758 and 149,588

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Solution

The third proportional to 101,758 and 149,588 is: 219,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758 : 149,588 = 149,588 : x
  2. Step 2: Convert to fraction form
    101,758/149,588 = 149,588/x
  3. Step 3: Cross multiply
    101,758x = 149,588 × 149,588
  4. Step 4: Simplify right side
    101,758x = 22,376,569,744
  5. Step 5: Solve for x
    x = 22,376,569,744/101,758
  6. Step 6: Final answer
    x = 219,899.86

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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.