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Finding the Third Proportional to 51,492 and 106,292

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Solution

The third proportional to 51,492 and 106,292 is: 219,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,492 : 106,292 = 106,292 : x
  2. Step 2: Convert to fraction form
    51,492/106,292 = 106,292/x
  3. Step 3: Cross multiply
    51,492x = 106,292 × 106,292
  4. Step 4: Simplify right side
    51,492x = 11,297,989,264
  5. Step 5: Solve for x
    x = 11,297,989,264/51,492
  6. Step 6: Final answer
    x = 219,412.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.