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Finding the Third Proportional to 98,739 and 210,600

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Solution

The third proportional to 98,739 and 210,600 is: 449,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,739 : 210,600 = 210,600 : x
  2. Step 2: Convert to fraction form
    98,739/210,600 = 210,600/x
  3. Step 3: Cross multiply
    98,739x = 210,600 × 210,600
  4. Step 4: Simplify right side
    98,739x = 44,352,360,000
  5. Step 5: Solve for x
    x = 44,352,360,000/98,739
  6. Step 6: Final answer
    x = 449,187.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.