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Finding the Third Proportional to 81,964 and 126,584

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Solution

The third proportional to 81,964 and 126,584 is: 195,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,964 : 126,584 = 126,584 : x
  2. Step 2: Convert to fraction form
    81,964/126,584 = 126,584/x
  3. Step 3: Cross multiply
    81,964x = 126,584 × 126,584
  4. Step 4: Simplify right side
    81,964x = 16,023,509,056
  5. Step 5: Solve for x
    x = 16,023,509,056/81,964
  6. Step 6: Final answer
    x = 195,494.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.