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Finding the Third Proportional to 59,808 and 89,856

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Solution

The third proportional to 59,808 and 89,856 is: 135,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,808 : 89,856 = 89,856 : x
  2. Step 2: Convert to fraction form
    59,808/89,856 = 89,856/x
  3. Step 3: Cross multiply
    59,808x = 89,856 × 89,856
  4. Step 4: Simplify right side
    59,808x = 8,074,100,736
  5. Step 5: Solve for x
    x = 8,074,100,736/59,808
  6. Step 6: Final answer
    x = 135,000.35

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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.