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Finding the Third Proportional to 89,858 and 143,043

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Solution

The third proportional to 89,858 and 143,043 is: 227,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,858 : 143,043 = 143,043 : x
  2. Step 2: Convert to fraction form
    89,858/143,043 = 143,043/x
  3. Step 3: Cross multiply
    89,858x = 143,043 × 143,043
  4. Step 4: Simplify right side
    89,858x = 20,461,299,849
  5. Step 5: Solve for x
    x = 20,461,299,849/89,858
  6. Step 6: Final answer
    x = 227,707.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.