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Finding the Third Proportional to 73,073.25 and 159,370.88

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Solution

The third proportional to 73,073.25 and 159,370.88 is: 347,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,073.25 : 159,370.88 = 159,370.88 : x
  2. Step 2: Convert to fraction form
    73,073.25/159,370.88 = 159,370.88/x
  3. Step 3: Cross multiply
    73,073.25x = 159,370.88 × 159,370.88
  4. Step 4: Simplify right side
    73,073.25x = 25,399,075,798.27
  5. Step 5: Solve for x
    x = 25,399,075,798.27/73,073.25
  6. Step 6: Final answer
    x = 347,583.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.