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Finding the Third Proportional to 53,600 and 108,658

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Solution

The third proportional to 53,600 and 108,658 is: 220,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,600 : 108,658 = 108,658 : x
  2. Step 2: Convert to fraction form
    53,600/108,658 = 108,658/x
  3. Step 3: Cross multiply
    53,600x = 108,658 × 108,658
  4. Step 4: Simplify right side
    53,600x = 11,806,560,964
  5. Step 5: Solve for x
    x = 11,806,560,964/53,600
  6. Step 6: Final answer
    x = 220,271.66

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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.