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Finding the Third Proportional to 83,646 and 119,240

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Solution

The third proportional to 83,646 and 119,240 is: 169,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646 : 119,240 = 119,240 : x
  2. Step 2: Convert to fraction form
    83,646/119,240 = 119,240/x
  3. Step 3: Cross multiply
    83,646x = 119,240 × 119,240
  4. Step 4: Simplify right side
    83,646x = 14,218,177,600
  5. Step 5: Solve for x
    x = 14,218,177,600/83,646
  6. Step 6: Final answer
    x = 169,980.36

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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.