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Finding the Third Proportional to 89,226 and 134,595

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Solution

The third proportional to 89,226 and 134,595 is: 203,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,226 : 134,595 = 134,595 : x
  2. Step 2: Convert to fraction form
    89,226/134,595 = 134,595/x
  3. Step 3: Cross multiply
    89,226x = 134,595 × 134,595
  4. Step 4: Simplify right side
    89,226x = 18,115,814,025
  5. Step 5: Solve for x
    x = 18,115,814,025/89,226
  6. Step 6: Final answer
    x = 203,032.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.