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Finding the Third Proportional to 96,505 and 212,642

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Solution

The third proportional to 96,505 and 212,642 is: 468,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,505 : 212,642 = 212,642 : x
  2. Step 2: Convert to fraction form
    96,505/212,642 = 212,642/x
  3. Step 3: Cross multiply
    96,505x = 212,642 × 212,642
  4. Step 4: Simplify right side
    96,505x = 45,216,620,164
  5. Step 5: Solve for x
    x = 45,216,620,164/96,505
  6. Step 6: Final answer
    x = 468,541.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.