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Finding the Third Proportional to 104,376 and 149,211

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Solution

The third proportional to 104,376 and 149,211 is: 213,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,376 : 149,211 = 149,211 : x
  2. Step 2: Convert to fraction form
    104,376/149,211 = 149,211/x
  3. Step 3: Cross multiply
    104,376x = 149,211 × 149,211
  4. Step 4: Simplify right side
    104,376x = 22,263,922,521
  5. Step 5: Solve for x
    x = 22,263,922,521/104,376
  6. Step 6: Final answer
    x = 213,305.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.