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Finding the Third Proportional to 136,876.50 and 211,848.75

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Solution

The third proportional to 136,876.50 and 211,848.75 is: 327,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876.50 : 211,848.75 = 211,848.75 : x
  2. Step 2: Convert to fraction form
    136,876.50/211,848.75 = 211,848.75/x
  3. Step 3: Cross multiply
    136,876.50x = 211,848.75 × 211,848.75
  4. Step 4: Simplify right side
    136,876.50x = 44,879,892,876.56
  5. Step 5: Solve for x
    x = 44,879,892,876.56/136,876.50
  6. Step 6: Final answer
    x = 327,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.