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Finding the Third Proportional to 73,188 and 159,763

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Solution

The third proportional to 73,188 and 159,763 is: 348,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,188 : 159,763 = 159,763 : x
  2. Step 2: Convert to fraction form
    73,188/159,763 = 159,763/x
  3. Step 3: Cross multiply
    73,188x = 159,763 × 159,763
  4. Step 4: Simplify right side
    73,188x = 25,524,216,169
  5. Step 5: Solve for x
    x = 25,524,216,169/73,188
  6. Step 6: Final answer
    x = 348,748.65

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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.