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Finding the Third Proportional to 104,544 and 157,788

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Solution

The third proportional to 104,544 and 157,788 is: 238,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,544 : 157,788 = 157,788 : x
  2. Step 2: Convert to fraction form
    104,544/157,788 = 157,788/x
  3. Step 3: Cross multiply
    104,544x = 157,788 × 157,788
  4. Step 4: Simplify right side
    104,544x = 24,897,052,944
  5. Step 5: Solve for x
    x = 24,897,052,944/104,544
  6. Step 6: Final answer
    x = 238,149.04

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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.