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Finding the Third Proportional to 83,601 and 130,950

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Solution

The third proportional to 83,601 and 130,950 is: 205,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601 : 130,950 = 130,950 : x
  2. Step 2: Convert to fraction form
    83,601/130,950 = 130,950/x
  3. Step 3: Cross multiply
    83,601x = 130,950 × 130,950
  4. Step 4: Simplify right side
    83,601x = 17,147,902,500
  5. Step 5: Solve for x
    x = 17,147,902,500/83,601
  6. Step 6: Final answer
    x = 205,116.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.