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Finding the Third Proportional to 83,839 and 130,862

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Solution

The third proportional to 83,839 and 130,862 is: 204,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839 : 130,862 = 130,862 : x
  2. Step 2: Convert to fraction form
    83,839/130,862 = 130,862/x
  3. Step 3: Cross multiply
    83,839x = 130,862 × 130,862
  4. Step 4: Simplify right side
    83,839x = 17,124,863,044
  5. Step 5: Solve for x
    x = 17,124,863,044/83,839
  6. Step 6: Final answer
    x = 204,258.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.