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Finding the Third Proportional to 98,058 and 207,672

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Solution

The third proportional to 98,058 and 207,672 is: 439,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058 : 207,672 = 207,672 : x
  2. Step 2: Convert to fraction form
    98,058/207,672 = 207,672/x
  3. Step 3: Cross multiply
    98,058x = 207,672 × 207,672
  4. Step 4: Simplify right side
    98,058x = 43,127,659,584
  5. Step 5: Solve for x
    x = 43,127,659,584/98,058
  6. Step 6: Final answer
    x = 439,817.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.