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Finding the Third Proportional to 75,945 and 175,817

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Solution

The third proportional to 75,945 and 175,817 is: 407,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,945 : 175,817 = 175,817 : x
  2. Step 2: Convert to fraction form
    75,945/175,817 = 175,817/x
  3. Step 3: Cross multiply
    75,945x = 175,817 × 175,817
  4. Step 4: Simplify right side
    75,945x = 30,911,617,489
  5. Step 5: Solve for x
    x = 30,911,617,489/75,945
  6. Step 6: Final answer
    x = 407,026.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.