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Finding the Third Proportional to 89,861 and 98,501

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Solution

The third proportional to 89,861 and 98,501 is: 107,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,861 : 98,501 = 98,501 : x
  2. Step 2: Convert to fraction form
    89,861/98,501 = 98,501/x
  3. Step 3: Cross multiply
    89,861x = 98,501 × 98,501
  4. Step 4: Simplify right side
    89,861x = 9,702,447,001
  5. Step 5: Solve for x
    x = 9,702,447,001/89,861
  6. Step 6: Final answer
    x = 107,971.72

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.