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Finding the Third Proportional to 73,607 and 159,661

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Solution

The third proportional to 73,607 and 159,661 is: 346,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,607 : 159,661 = 159,661 : x
  2. Step 2: Convert to fraction form
    73,607/159,661 = 159,661/x
  3. Step 3: Cross multiply
    73,607x = 159,661 × 159,661
  4. Step 4: Simplify right side
    73,607x = 25,491,634,921
  5. Step 5: Solve for x
    x = 25,491,634,921/73,607
  6. Step 6: Final answer
    x = 346,320.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.