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Finding the Third Proportional to 61,785 and 99,481.50

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Solution

The third proportional to 61,785 and 99,481.50 is: 160,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785 : 99,481.50 = 99,481.50 : x
  2. Step 2: Convert to fraction form
    61,785/99,481.50 = 99,481.50/x
  3. Step 3: Cross multiply
    61,785x = 99,481.50 × 99,481.50
  4. Step 4: Simplify right side
    61,785x = 9,896,568,842.25
  5. Step 5: Solve for x
    x = 9,896,568,842.25/61,785
  6. Step 6: Final answer
    x = 160,177.53

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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.