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Finding the Third Proportional to 89,579 and 139,815

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Solution

The third proportional to 89,579 and 139,815 is: 218,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,579 : 139,815 = 139,815 : x
  2. Step 2: Convert to fraction form
    89,579/139,815 = 139,815/x
  3. Step 3: Cross multiply
    89,579x = 139,815 × 139,815
  4. Step 4: Simplify right side
    89,579x = 19,548,234,225
  5. Step 5: Solve for x
    x = 19,548,234,225/89,579
  6. Step 6: Final answer
    x = 218,223.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.