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Finding the Third Proportional to 73,823.91 and 110,714.34

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Solution

The third proportional to 73,823.91 and 110,714.34 is: 166,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.91 : 110,714.34 = 110,714.34 : x
  2. Step 2: Convert to fraction form
    73,823.91/110,714.34 = 110,714.34/x
  3. Step 3: Cross multiply
    73,823.91x = 110,714.34 × 110,714.34
  4. Step 4: Simplify right side
    73,823.91x = 12,257,665,911.99
  5. Step 5: Solve for x
    x = 12,257,665,911.99/73,823.91
  6. Step 6: Final answer
    x = 166,039.25

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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.