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Finding the Third Proportional to 133,091 and 202,177

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Solution

The third proportional to 133,091 and 202,177 is: 307,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 202,177 = 202,177 : x
  2. Step 2: Convert to fraction form
    133,091/202,177 = 202,177/x
  3. Step 3: Cross multiply
    133,091x = 202,177 × 202,177
  4. Step 4: Simplify right side
    133,091x = 40,875,539,329
  5. Step 5: Solve for x
    x = 40,875,539,329/133,091
  6. Step 6: Final answer
    x = 307,124.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.