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Finding the Third Proportional to 120,492 and 160,974

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Solution

The third proportional to 120,492 and 160,974 is: 215,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,492 : 160,974 = 160,974 : x
  2. Step 2: Convert to fraction form
    120,492/160,974 = 160,974/x
  3. Step 3: Cross multiply
    120,492x = 160,974 × 160,974
  4. Step 4: Simplify right side
    120,492x = 25,912,628,676
  5. Step 5: Solve for x
    x = 25,912,628,676/120,492
  6. Step 6: Final answer
    x = 215,056.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.