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Finding the Third Proportional to 105,050 and 157,649

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Solution

The third proportional to 105,050 and 157,649 is: 236,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,050 : 157,649 = 157,649 : x
  2. Step 2: Convert to fraction form
    105,050/157,649 = 157,649/x
  3. Step 3: Cross multiply
    105,050x = 157,649 × 157,649
  4. Step 4: Simplify right side
    105,050x = 24,853,207,201
  5. Step 5: Solve for x
    x = 24,853,207,201/105,050
  6. Step 6: Final answer
    x = 236,584.55

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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.