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Finding the Third Proportional to 104,150 and 157,684

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Solution

The third proportional to 104,150 and 157,684 is: 238,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,150 : 157,684 = 157,684 : x
  2. Step 2: Convert to fraction form
    104,150/157,684 = 157,684/x
  3. Step 3: Cross multiply
    104,150x = 157,684 × 157,684
  4. Step 4: Simplify right side
    104,150x = 24,864,243,856
  5. Step 5: Solve for x
    x = 24,864,243,856/104,150
  6. Step 6: Final answer
    x = 238,734.94

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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.