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Finding the Third Proportional to 137,878 and 210,786

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Solution

The third proportional to 137,878 and 210,786 is: 322,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878 : 210,786 = 210,786 : x
  2. Step 2: Convert to fraction form
    137,878/210,786 = 210,786/x
  3. Step 3: Cross multiply
    137,878x = 210,786 × 210,786
  4. Step 4: Simplify right side
    137,878x = 44,430,737,796
  5. Step 5: Solve for x
    x = 44,430,737,796/137,878
  6. Step 6: Final answer
    x = 322,246.75

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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.