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Finding the Third Proportional to 83,658 and 119,252

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Solution

The third proportional to 83,658 and 119,252 is: 169,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,658 : 119,252 = 119,252 : x
  2. Step 2: Convert to fraction form
    83,658/119,252 = 119,252/x
  3. Step 3: Cross multiply
    83,658x = 119,252 × 119,252
  4. Step 4: Simplify right side
    83,658x = 14,221,039,504
  5. Step 5: Solve for x
    x = 14,221,039,504/83,658
  6. Step 6: Final answer
    x = 169,990.19

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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.