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Finding the Third Proportional to 73,817 and 108,265

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Solution

The third proportional to 73,817 and 108,265 is: 158,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,817 : 108,265 = 108,265 : x
  2. Step 2: Convert to fraction form
    73,817/108,265 = 108,265/x
  3. Step 3: Cross multiply
    73,817x = 108,265 × 108,265
  4. Step 4: Simplify right side
    73,817x = 11,721,310,225
  5. Step 5: Solve for x
    x = 11,721,310,225/73,817
  6. Step 6: Final answer
    x = 158,788.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.