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Finding the Third Proportional to 137,919 and 210,890

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Solution

The third proportional to 137,919 and 210,890 is: 322,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,919 : 210,890 = 210,890 : x
  2. Step 2: Convert to fraction form
    137,919/210,890 = 210,890/x
  3. Step 3: Cross multiply
    137,919x = 210,890 × 210,890
  4. Step 4: Simplify right side
    137,919x = 44,474,592,100
  5. Step 5: Solve for x
    x = 44,474,592,100/137,919
  6. Step 6: Final answer
    x = 322,468.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.