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Finding the Third Proportional to 82,042 and 193,169

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Solution

The third proportional to 82,042 and 193,169 is: 454,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042 : 193,169 = 193,169 : x
  2. Step 2: Convert to fraction form
    82,042/193,169 = 193,169/x
  3. Step 3: Cross multiply
    82,042x = 193,169 × 193,169
  4. Step 4: Simplify right side
    82,042x = 37,314,262,561
  5. Step 5: Solve for x
    x = 37,314,262,561/82,042
  6. Step 6: Final answer
    x = 454,819.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.