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Finding the Third Proportional to 105,041 and 157,638

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Solution

The third proportional to 105,041 and 157,638 is: 236,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,041 : 157,638 = 157,638 : x
  2. Step 2: Convert to fraction form
    105,041/157,638 = 157,638/x
  3. Step 3: Cross multiply
    105,041x = 157,638 × 157,638
  4. Step 4: Simplify right side
    105,041x = 24,849,739,044
  5. Step 5: Solve for x
    x = 24,849,739,044/105,041
  6. Step 6: Final answer
    x = 236,571.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.