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Finding the Third Proportional to 82,154 and 176,763

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Solution

The third proportional to 82,154 and 176,763 is: 380,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 176,763 = 176,763 : x
  2. Step 2: Convert to fraction form
    82,154/176,763 = 176,763/x
  3. Step 3: Cross multiply
    82,154x = 176,763 × 176,763
  4. Step 4: Simplify right side
    82,154x = 31,245,158,169
  5. Step 5: Solve for x
    x = 31,245,158,169/82,154
  6. Step 6: Final answer
    x = 380,324.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.