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Finding the Third Proportional to 75,774 and 159,537

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Solution

The third proportional to 75,774 and 159,537 is: 335,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774 : 159,537 = 159,537 : x
  2. Step 2: Convert to fraction form
    75,774/159,537 = 159,537/x
  3. Step 3: Cross multiply
    75,774x = 159,537 × 159,537
  4. Step 4: Simplify right side
    75,774x = 25,452,054,369
  5. Step 5: Solve for x
    x = 25,452,054,369/75,774
  6. Step 6: Final answer
    x = 335,894.30

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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.