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Finding the Third Proportional to 41,312 and 89,631

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Solution

The third proportional to 41,312 and 89,631 is: 194,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,312 : 89,631 = 89,631 : x
  2. Step 2: Convert to fraction form
    41,312/89,631 = 89,631/x
  3. Step 3: Cross multiply
    41,312x = 89,631 × 89,631
  4. Step 4: Simplify right side
    41,312x = 8,033,716,161
  5. Step 5: Solve for x
    x = 8,033,716,161/41,312
  6. Step 6: Final answer
    x = 194,464.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.