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Finding the Third Proportional to 96,122 and 209,740

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Solution

The third proportional to 96,122 and 209,740 is: 457,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,122 : 209,740 = 209,740 : x
  2. Step 2: Convert to fraction form
    96,122/209,740 = 209,740/x
  3. Step 3: Cross multiply
    96,122x = 209,740 × 209,740
  4. Step 4: Simplify right side
    96,122x = 43,990,867,600
  5. Step 5: Solve for x
    x = 43,990,867,600/96,122
  6. Step 6: Final answer
    x = 457,656.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.