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Finding the Third Proportional to 54,688 and 82,084

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Solution

The third proportional to 54,688 and 82,084 is: 123,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688 : 82,084 = 82,084 : x
  2. Step 2: Convert to fraction form
    54,688/82,084 = 82,084/x
  3. Step 3: Cross multiply
    54,688x = 82,084 × 82,084
  4. Step 4: Simplify right side
    54,688x = 6,737,783,056
  5. Step 5: Solve for x
    x = 6,737,783,056/54,688
  6. Step 6: Final answer
    x = 123,204.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.