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Finding the Third Proportional to 105,039 and 157,635

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Solution

The third proportional to 105,039 and 157,635 is: 236,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,039 : 157,635 = 157,635 : x
  2. Step 2: Convert to fraction form
    105,039/157,635 = 157,635/x
  3. Step 3: Cross multiply
    105,039x = 157,635 × 157,635
  4. Step 4: Simplify right side
    105,039x = 24,848,793,225
  5. Step 5: Solve for x
    x = 24,848,793,225/105,039
  6. Step 6: Final answer
    x = 236,567.31

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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.