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Finding the Third Proportional to 121,092 and 166,226.50

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Solution

The third proportional to 121,092 and 166,226.50 is: 228,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,092 : 166,226.50 = 166,226.50 : x
  2. Step 2: Convert to fraction form
    121,092/166,226.50 = 166,226.50/x
  3. Step 3: Cross multiply
    121,092x = 166,226.50 × 166,226.50
  4. Step 4: Simplify right side
    121,092x = 27,631,249,302.25
  5. Step 5: Solve for x
    x = 27,631,249,302.25/121,092
  6. Step 6: Final answer
    x = 228,183.94

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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.