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Finding the Third Proportional to 136,518 and 203,724

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Solution

The third proportional to 136,518 and 203,724 is: 304,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,518 : 203,724 = 203,724 : x
  2. Step 2: Convert to fraction form
    136,518/203,724 = 203,724/x
  3. Step 3: Cross multiply
    136,518x = 203,724 × 203,724
  4. Step 4: Simplify right side
    136,518x = 41,503,468,176
  5. Step 5: Solve for x
    x = 41,503,468,176/136,518
  6. Step 6: Final answer
    x = 304,014.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.