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Finding the Third Proportional to 83,698 and 119,328

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Solution

The third proportional to 83,698 and 119,328 is: 170,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698 : 119,328 = 119,328 : x
  2. Step 2: Convert to fraction form
    83,698/119,328 = 119,328/x
  3. Step 3: Cross multiply
    83,698x = 119,328 × 119,328
  4. Step 4: Simplify right side
    83,698x = 14,239,171,584
  5. Step 5: Solve for x
    x = 14,239,171,584/83,698
  6. Step 6: Final answer
    x = 170,125.59

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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.