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Finding the Third Proportional to 104,858 and 157,583

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Solution

The third proportional to 104,858 and 157,583 is: 236,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,858 : 157,583 = 157,583 : x
  2. Step 2: Convert to fraction form
    104,858/157,583 = 157,583/x
  3. Step 3: Cross multiply
    104,858x = 157,583 × 157,583
  4. Step 4: Simplify right side
    104,858x = 24,832,401,889
  5. Step 5: Solve for x
    x = 24,832,401,889/104,858
  6. Step 6: Final answer
    x = 236,819.34

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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.