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Finding the Third Proportional to 59,876 and 89,814

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Solution

The third proportional to 59,876 and 89,814 is: 134,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,876 : 89,814 = 89,814 : x
  2. Step 2: Convert to fraction form
    59,876/89,814 = 89,814/x
  3. Step 3: Cross multiply
    59,876x = 89,814 × 89,814
  4. Step 4: Simplify right side
    59,876x = 8,066,554,596
  5. Step 5: Solve for x
    x = 8,066,554,596/59,876
  6. Step 6: Final answer
    x = 134,721

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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.