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Finding the Third Proportional to 59,883 and 99,798.75

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Solution

The third proportional to 59,883 and 99,798.75 is: 166,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,883 : 99,798.75 = 99,798.75 : x
  2. Step 2: Convert to fraction form
    59,883/99,798.75 = 99,798.75/x
  3. Step 3: Cross multiply
    59,883x = 99,798.75 × 99,798.75
  4. Step 4: Simplify right side
    59,883x = 9,959,790,501.56
  5. Step 5: Solve for x
    x = 9,959,790,501.56/59,883
  6. Step 6: Final answer
    x = 166,320.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.