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Finding the Third Proportional to 75,859.50 and 109,273

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Solution

The third proportional to 75,859.50 and 109,273 is: 157,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.50 : 109,273 = 109,273 : x
  2. Step 2: Convert to fraction form
    75,859.50/109,273 = 109,273/x
  3. Step 3: Cross multiply
    75,859.50x = 109,273 × 109,273
  4. Step 4: Simplify right side
    75,859.50x = 11,940,588,529
  5. Step 5: Solve for x
    x = 11,940,588,529/75,859.50
  6. Step 6: Final answer
    x = 157,404.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.