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Finding the Third Proportional to 58,054 and 86,856

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Solution

The third proportional to 58,054 and 86,856 is: 129,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,054 : 86,856 = 86,856 : x
  2. Step 2: Convert to fraction form
    58,054/86,856 = 86,856/x
  3. Step 3: Cross multiply
    58,054x = 86,856 × 86,856
  4. Step 4: Simplify right side
    58,054x = 7,543,964,736
  5. Step 5: Solve for x
    x = 7,543,964,736/58,054
  6. Step 6: Final answer
    x = 129,947.37

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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.