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Finding the Third Proportional to 137,094.75 and 211,864.92

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Solution

The third proportional to 137,094.75 and 211,864.92 is: 327,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,094.75 : 211,864.92 = 211,864.92 : x
  2. Step 2: Convert to fraction form
    137,094.75/211,864.92 = 211,864.92/x
  3. Step 3: Cross multiply
    137,094.75x = 211,864.92 × 211,864.92
  4. Step 4: Simplify right side
    137,094.75x = 44,886,745,121.10
  5. Step 5: Solve for x
    x = 44,886,745,121.10/137,094.75
  6. Step 6: Final answer
    x = 327,414.03

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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.