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Finding the Third Proportional to 89,299 and 131,032

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Solution

The third proportional to 89,299 and 131,032 is: 192,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,299 : 131,032 = 131,032 : x
  2. Step 2: Convert to fraction form
    89,299/131,032 = 131,032/x
  3. Step 3: Cross multiply
    89,299x = 131,032 × 131,032
  4. Step 4: Simplify right side
    89,299x = 17,169,385,024
  5. Step 5: Solve for x
    x = 17,169,385,024/89,299
  6. Step 6: Final answer
    x = 192,268.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.