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Finding the Third Proportional to 47,257.88 and 103,182.75

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Solution

The third proportional to 47,257.88 and 103,182.75 is: 225,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.88 : 103,182.75 = 103,182.75 : x
  2. Step 2: Convert to fraction form
    47,257.88/103,182.75 = 103,182.75/x
  3. Step 3: Cross multiply
    47,257.88x = 103,182.75 × 103,182.75
  4. Step 4: Simplify right side
    47,257.88x = 10,646,679,897.56
  5. Step 5: Solve for x
    x = 10,646,679,897.56/47,257.88
  6. Step 6: Final answer
    x = 225,289.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.