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Finding the Third Proportional to 83,302 and 119,039

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Solution

The third proportional to 83,302 and 119,039 is: 170,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302 : 119,039 = 119,039 : x
  2. Step 2: Convert to fraction form
    83,302/119,039 = 119,039/x
  3. Step 3: Cross multiply
    83,302x = 119,039 × 119,039
  4. Step 4: Simplify right side
    83,302x = 14,170,283,521
  5. Step 5: Solve for x
    x = 14,170,283,521/83,302
  6. Step 6: Final answer
    x = 170,107.36

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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.