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Finding the Third Proportional to 61,284.94 and 91,896.19

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Solution

The third proportional to 61,284.94 and 91,896.19 is: 137,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.94 : 91,896.19 = 91,896.19 : x
  2. Step 2: Convert to fraction form
    61,284.94/91,896.19 = 91,896.19/x
  3. Step 3: Cross multiply
    61,284.94x = 91,896.19 × 91,896.19
  4. Step 4: Simplify right side
    61,284.94x = 8,444,909,277.04
  5. Step 5: Solve for x
    x = 8,444,909,277.04/61,284.94
  6. Step 6: Final answer
    x = 137,797.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.