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Finding the Third Proportional to 89,575.88 and 137,492.44

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Solution

The third proportional to 89,575.88 and 137,492.44 is: 211,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,575.88 : 137,492.44 = 137,492.44 : x
  2. Step 2: Convert to fraction form
    89,575.88/137,492.44 = 137,492.44/x
  3. Step 3: Cross multiply
    89,575.88x = 137,492.44 × 137,492.44
  4. Step 4: Simplify right side
    89,575.88x = 18,904,170,369.69
  5. Step 5: Solve for x
    x = 18,904,170,369.69/89,575.88
  6. Step 6: Final answer
    x = 211,040.87

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Why These Related Problems?

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