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Finding the Third Proportional to 122,913 and 168,212.25

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Solution

The third proportional to 122,913 and 168,212.25 is: 230,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,913 : 168,212.25 = 168,212.25 : x
  2. Step 2: Convert to fraction form
    122,913/168,212.25 = 168,212.25/x
  3. Step 3: Cross multiply
    122,913x = 168,212.25 × 168,212.25
  4. Step 4: Simplify right side
    122,913x = 28,295,361,050.06
  5. Step 5: Solve for x
    x = 28,295,361,050.06/122,913
  6. Step 6: Final answer
    x = 230,206.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.