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Finding the Third Proportional to 47,265 and 73,194

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Solution

The third proportional to 47,265 and 73,194 is: 113,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265 : 73,194 = 73,194 : x
  2. Step 2: Convert to fraction form
    47,265/73,194 = 73,194/x
  3. Step 3: Cross multiply
    47,265x = 73,194 × 73,194
  4. Step 4: Simplify right side
    47,265x = 5,357,361,636
  5. Step 5: Solve for x
    x = 5,357,361,636/47,265
  6. Step 6: Final answer
    x = 113,347.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.