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Finding the Third Proportional to 69,266 and 151,492

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Solution

The third proportional to 69,266 and 151,492 is: 331,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266 : 151,492 = 151,492 : x
  2. Step 2: Convert to fraction form
    69,266/151,492 = 151,492/x
  3. Step 3: Cross multiply
    69,266x = 151,492 × 151,492
  4. Step 4: Simplify right side
    69,266x = 22,949,826,064
  5. Step 5: Solve for x
    x = 22,949,826,064/69,266
  6. Step 6: Final answer
    x = 331,328.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.