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Finding the Third Proportional to 47,394.25 and 109,719.63

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Solution

The third proportional to 47,394.25 and 109,719.63 is: 254,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394.25 : 109,719.63 = 109,719.63 : x
  2. Step 2: Convert to fraction form
    47,394.25/109,719.63 = 109,719.63/x
  3. Step 3: Cross multiply
    47,394.25x = 109,719.63 × 109,719.63
  4. Step 4: Simplify right side
    47,394.25x = 12,038,396,110.14
  5. Step 5: Solve for x
    x = 12,038,396,110.14/47,394.25
  6. Step 6: Final answer
    x = 254,005.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.