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Finding the Third Proportional to 61,787 and 99,485

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Solution

The third proportional to 61,787 and 99,485 is: 160,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,787 : 99,485 = 99,485 : x
  2. Step 2: Convert to fraction form
    61,787/99,485 = 99,485/x
  3. Step 3: Cross multiply
    61,787x = 99,485 × 99,485
  4. Step 4: Simplify right side
    61,787x = 9,897,265,225
  5. Step 5: Solve for x
    x = 9,897,265,225/61,787
  6. Step 6: Final answer
    x = 160,183.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.