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Finding the Third Proportional to 61,519 and 96,379

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Solution

The third proportional to 61,519 and 96,379 is: 150,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519 : 96,379 = 96,379 : x
  2. Step 2: Convert to fraction form
    61,519/96,379 = 96,379/x
  3. Step 3: Cross multiply
    61,519x = 96,379 × 96,379
  4. Step 4: Simplify right side
    61,519x = 9,288,911,641
  5. Step 5: Solve for x
    x = 9,288,911,641/61,519
  6. Step 6: Final answer
    x = 150,992.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.