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Finding the Third Proportional to 59,131 and 85,004

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Solution

The third proportional to 59,131 and 85,004 is: 122,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,131 : 85,004 = 85,004 : x
  2. Step 2: Convert to fraction form
    59,131/85,004 = 85,004/x
  3. Step 3: Cross multiply
    59,131x = 85,004 × 85,004
  4. Step 4: Simplify right side
    59,131x = 7,225,680,016
  5. Step 5: Solve for x
    x = 7,225,680,016/59,131
  6. Step 6: Final answer
    x = 122,197.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.