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Finding the Third Proportional to 75,753 and 159,495

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Solution

The third proportional to 75,753 and 159,495 is: 335,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,753 : 159,495 = 159,495 : x
  2. Step 2: Convert to fraction form
    75,753/159,495 = 159,495/x
  3. Step 3: Cross multiply
    75,753x = 159,495 × 159,495
  4. Step 4: Simplify right side
    75,753x = 25,438,655,025
  5. Step 5: Solve for x
    x = 25,438,655,025/75,753
  6. Step 6: Final answer
    x = 335,810.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.