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Finding the Third Proportional to 98,059 and 211,672

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Solution

The third proportional to 98,059 and 211,672 is: 456,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,059 : 211,672 = 211,672 : x
  2. Step 2: Convert to fraction form
    98,059/211,672 = 211,672/x
  3. Step 3: Cross multiply
    98,059x = 211,672 × 211,672
  4. Step 4: Simplify right side
    98,059x = 44,805,035,584
  5. Step 5: Solve for x
    x = 44,805,035,584/98,059
  6. Step 6: Final answer
    x = 456,919.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.