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Finding the Third Proportional to 89,135.44 and 136,490.06

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Solution

The third proportional to 89,135.44 and 136,490.06 is: 209,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,135.44 : 136,490.06 = 136,490.06 : x
  2. Step 2: Convert to fraction form
    89,135.44/136,490.06 = 136,490.06/x
  3. Step 3: Cross multiply
    89,135.44x = 136,490.06 × 136,490.06
  4. Step 4: Simplify right side
    89,135.44x = 18,629,537,161.25
  5. Step 5: Solve for x
    x = 18,629,537,161.25/89,135.44
  6. Step 6: Final answer
    x = 209,002.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.