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Finding the Third Proportional to 83,364 and 117,396

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Solution

The third proportional to 83,364 and 117,396 is: 165,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,364 : 117,396 = 117,396 : x
  2. Step 2: Convert to fraction form
    83,364/117,396 = 117,396/x
  3. Step 3: Cross multiply
    83,364x = 117,396 × 117,396
  4. Step 4: Simplify right side
    83,364x = 13,781,820,816
  5. Step 5: Solve for x
    x = 13,781,820,816/83,364
  6. Step 6: Final answer
    x = 165,321.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.