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Finding the Third Proportional to 51,662.63 and 109,525

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Solution

The third proportional to 51,662.63 and 109,525 is: 232,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.63 : 109,525 = 109,525 : x
  2. Step 2: Convert to fraction form
    51,662.63/109,525 = 109,525/x
  3. Step 3: Cross multiply
    51,662.63x = 109,525 × 109,525
  4. Step 4: Simplify right side
    51,662.63x = 11,995,725,625
  5. Step 5: Solve for x
    x = 11,995,725,625/51,662.63
  6. Step 6: Final answer
    x = 232,193.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.