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Finding the Third Proportional to 58,837 and 89,795

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Solution

The third proportional to 58,837 and 89,795 is: 137,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,837 : 89,795 = 89,795 : x
  2. Step 2: Convert to fraction form
    58,837/89,795 = 89,795/x
  3. Step 3: Cross multiply
    58,837x = 89,795 × 89,795
  4. Step 4: Simplify right side
    58,837x = 8,063,142,025
  5. Step 5: Solve for x
    x = 8,063,142,025/58,837
  6. Step 6: Final answer
    x = 137,042.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.