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Finding the Third Proportional to 73,105.50 and 159,423

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Solution

The third proportional to 73,105.50 and 159,423 is: 347,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,105.50 : 159,423 = 159,423 : x
  2. Step 2: Convert to fraction form
    73,105.50/159,423 = 159,423/x
  3. Step 3: Cross multiply
    73,105.50x = 159,423 × 159,423
  4. Step 4: Simplify right side
    73,105.50x = 25,415,692,929
  5. Step 5: Solve for x
    x = 25,415,692,929/73,105.50
  6. Step 6: Final answer
    x = 347,657.74

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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.