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Finding the Third Proportional to 53,574 and 108,606

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Solution

The third proportional to 53,574 and 108,606 is: 220,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 108,606 = 108,606 : x
  2. Step 2: Convert to fraction form
    53,574/108,606 = 108,606/x
  3. Step 3: Cross multiply
    53,574x = 108,606 × 108,606
  4. Step 4: Simplify right side
    53,574x = 11,795,263,236
  5. Step 5: Solve for x
    x = 11,795,263,236/53,574
  6. Step 6: Final answer
    x = 220,167.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.