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Finding the Third Proportional to 83,954 and 132,934

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Solution

The third proportional to 83,954 and 132,934 is: 210,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954 : 132,934 = 132,934 : x
  2. Step 2: Convert to fraction form
    83,954/132,934 = 132,934/x
  3. Step 3: Cross multiply
    83,954x = 132,934 × 132,934
  4. Step 4: Simplify right side
    83,954x = 17,671,448,356
  5. Step 5: Solve for x
    x = 17,671,448,356/83,954
  6. Step 6: Final answer
    x = 210,489.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.