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Finding the Third Proportional to 89,057 and 142,010

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Solution

The third proportional to 89,057 and 142,010 is: 226,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,057 : 142,010 = 142,010 : x
  2. Step 2: Convert to fraction form
    89,057/142,010 = 142,010/x
  3. Step 3: Cross multiply
    89,057x = 142,010 × 142,010
  4. Step 4: Simplify right side
    89,057x = 20,166,840,100
  5. Step 5: Solve for x
    x = 20,166,840,100/89,057
  6. Step 6: Final answer
    x = 226,448.68

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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.