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Finding the Third Proportional to 104,890 and 157,303

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Solution

The third proportional to 104,890 and 157,303 is: 235,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,890 : 157,303 = 157,303 : x
  2. Step 2: Convert to fraction form
    104,890/157,303 = 157,303/x
  3. Step 3: Cross multiply
    104,890x = 157,303 × 157,303
  4. Step 4: Simplify right side
    104,890x = 24,744,233,809
  5. Step 5: Solve for x
    x = 24,744,233,809/104,890
  6. Step 6: Final answer
    x = 235,906.51

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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.