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Finding the Third Proportional to 73,104 and 157,296

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Solution

The third proportional to 73,104 and 157,296 is: 338,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,104 : 157,296 = 157,296 : x
  2. Step 2: Convert to fraction form
    73,104/157,296 = 157,296/x
  3. Step 3: Cross multiply
    73,104x = 157,296 × 157,296
  4. Step 4: Simplify right side
    73,104x = 24,742,031,616
  5. Step 5: Solve for x
    x = 24,742,031,616/73,104
  6. Step 6: Final answer
    x = 338,449.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.