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Finding the Third Proportional to 58,084 and 86,892

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Solution

The third proportional to 58,084 and 86,892 is: 129,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,084 : 86,892 = 86,892 : x
  2. Step 2: Convert to fraction form
    58,084/86,892 = 86,892/x
  3. Step 3: Cross multiply
    58,084x = 86,892 × 86,892
  4. Step 4: Simplify right side
    58,084x = 7,550,219,664
  5. Step 5: Solve for x
    x = 7,550,219,664/58,084
  6. Step 6: Final answer
    x = 129,987.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.