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Finding the Third Proportional to 82,905 and 177,639

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Solution

The third proportional to 82,905 and 177,639 is: 380,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905 : 177,639 = 177,639 : x
  2. Step 2: Convert to fraction form
    82,905/177,639 = 177,639/x
  3. Step 3: Cross multiply
    82,905x = 177,639 × 177,639
  4. Step 4: Simplify right side
    82,905x = 31,555,614,321
  5. Step 5: Solve for x
    x = 31,555,614,321/82,905
  6. Step 6: Final answer
    x = 380,623.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.