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Finding the Third Proportional to 47,890.50 and 102,987

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Solution

The third proportional to 47,890.50 and 102,987 is: 221,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,890.50 : 102,987 = 102,987 : x
  2. Step 2: Convert to fraction form
    47,890.50/102,987 = 102,987/x
  3. Step 3: Cross multiply
    47,890.50x = 102,987 × 102,987
  4. Step 4: Simplify right side
    47,890.50x = 10,606,322,169
  5. Step 5: Solve for x
    x = 10,606,322,169/47,890.50
  6. Step 6: Final answer
    x = 221,470.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.