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Finding the Third Proportional to 104,445.75 and 159,116.63

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Solution

The third proportional to 104,445.75 and 159,116.63 is: 242,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,445.75 : 159,116.63 = 159,116.63 : x
  2. Step 2: Convert to fraction form
    104,445.75/159,116.63 = 159,116.63/x
  3. Step 3: Cross multiply
    104,445.75x = 159,116.63 × 159,116.63
  4. Step 4: Simplify right side
    104,445.75x = 25,318,100,351.39
  5. Step 5: Solve for x
    x = 25,318,100,351.39/104,445.75
  6. Step 6: Final answer
    x = 242,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.