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Finding the Third Proportional to 104,624 and 157,170

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Solution

The third proportional to 104,624 and 157,170 is: 236,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,624 : 157,170 = 157,170 : x
  2. Step 2: Convert to fraction form
    104,624/157,170 = 157,170/x
  3. Step 3: Cross multiply
    104,624x = 157,170 × 157,170
  4. Step 4: Simplify right side
    104,624x = 24,702,408,900
  5. Step 5: Solve for x
    x = 24,702,408,900/104,624
  6. Step 6: Final answer
    x = 236,106.52

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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.