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Finding the Third Proportional to 109,467 and 164,994.75

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Solution

The third proportional to 109,467 and 164,994.75 is: 248,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,467 : 164,994.75 = 164,994.75 : x
  2. Step 2: Convert to fraction form
    109,467/164,994.75 = 164,994.75/x
  3. Step 3: Cross multiply
    109,467x = 164,994.75 × 164,994.75
  4. Step 4: Simplify right side
    109,467x = 27,223,267,527.56
  5. Step 5: Solve for x
    x = 27,223,267,527.56/109,467
  6. Step 6: Final answer
    x = 248,689.26

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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.