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Finding the Third Proportional to 83,318 and 119,062

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Solution

The third proportional to 83,318 and 119,062 is: 170,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318 : 119,062 = 119,062 : x
  2. Step 2: Convert to fraction form
    83,318/119,062 = 119,062/x
  3. Step 3: Cross multiply
    83,318x = 119,062 × 119,062
  4. Step 4: Simplify right side
    83,318x = 14,175,759,844
  5. Step 5: Solve for x
    x = 14,175,759,844/83,318
  6. Step 6: Final answer
    x = 170,140.42

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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.