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Finding the Third Proportional to 40,510 and 94,232

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Solution

The third proportional to 40,510 and 94,232 is: 219,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,510 : 94,232 = 94,232 : x
  2. Step 2: Convert to fraction form
    40,510/94,232 = 94,232/x
  3. Step 3: Cross multiply
    40,510x = 94,232 × 94,232
  4. Step 4: Simplify right side
    40,510x = 8,879,669,824
  5. Step 5: Solve for x
    x = 8,879,669,824/40,510
  6. Step 6: Final answer
    x = 219,196.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.