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Finding the Third Proportional to 104,033 and 157,144

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Solution

The third proportional to 104,033 and 157,144 is: 237,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,033 : 157,144 = 157,144 : x
  2. Step 2: Convert to fraction form
    104,033/157,144 = 157,144/x
  3. Step 3: Cross multiply
    104,033x = 157,144 × 157,144
  4. Step 4: Simplify right side
    104,033x = 24,694,236,736
  5. Step 5: Solve for x
    x = 24,694,236,736/104,033
  6. Step 6: Final answer
    x = 237,369.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.