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Finding the Third Proportional to 83,135 and 178,083

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Solution

The third proportional to 83,135 and 178,083 is: 381,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135 : 178,083 = 178,083 : x
  2. Step 2: Convert to fraction form
    83,135/178,083 = 178,083/x
  3. Step 3: Cross multiply
    83,135x = 178,083 × 178,083
  4. Step 4: Simplify right side
    83,135x = 31,713,554,889
  5. Step 5: Solve for x
    x = 31,713,554,889/83,135
  6. Step 6: Final answer
    x = 381,470.56

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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.