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Finding the Third Proportional to 107,059.50 and 235,302

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Solution

The third proportional to 107,059.50 and 235,302 is: 517,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.50 : 235,302 = 235,302 : x
  2. Step 2: Convert to fraction form
    107,059.50/235,302 = 235,302/x
  3. Step 3: Cross multiply
    107,059.50x = 235,302 × 235,302
  4. Step 4: Simplify right side
    107,059.50x = 55,367,031,204
  5. Step 5: Solve for x
    x = 55,367,031,204/107,059.50
  6. Step 6: Final answer
    x = 517,161.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.