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Finding the Third Proportional to 42,409.59 and 84,814.69

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Solution

The third proportional to 42,409.59 and 84,814.69 is: 169,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.59 : 84,814.69 = 84,814.69 : x
  2. Step 2: Convert to fraction form
    42,409.59/84,814.69 = 84,814.69/x
  3. Step 3: Cross multiply
    42,409.59x = 84,814.69 × 84,814.69
  4. Step 4: Simplify right side
    42,409.59x = 7,193,531,215.72
  5. Step 5: Solve for x
    x = 7,193,531,215.72/42,409.59
  6. Step 6: Final answer
    x = 169,620.38

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.