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Finding the Third Proportional to 61,509.94 and 100,439.44

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Solution

The third proportional to 61,509.94 and 100,439.44 is: 164,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.94 : 100,439.44 = 100,439.44 : x
  2. Step 2: Convert to fraction form
    61,509.94/100,439.44 = 100,439.44/x
  3. Step 3: Cross multiply
    61,509.94x = 100,439.44 × 100,439.44
  4. Step 4: Simplify right side
    61,509.94x = 10,088,080,605.32
  5. Step 5: Solve for x
    x = 10,088,080,605.32/61,509.94
  6. Step 6: Final answer
    x = 164,007.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.