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Finding the Third Proportional to 83,333 and 119,083

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Solution

The third proportional to 83,333 and 119,083 is: 170,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,333 : 119,083 = 119,083 : x
  2. Step 2: Convert to fraction form
    83,333/119,083 = 119,083/x
  3. Step 3: Cross multiply
    83,333x = 119,083 × 119,083
  4. Step 4: Simplify right side
    83,333x = 14,180,760,889
  5. Step 5: Solve for x
    x = 14,180,760,889/83,333
  6. Step 6: Final answer
    x = 170,169.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.