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Finding the Third Proportional to 137,120 and 211,899

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Solution

The third proportional to 137,120 and 211,899 is: 327,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120 : 211,899 = 211,899 : x
  2. Step 2: Convert to fraction form
    137,120/211,899 = 211,899/x
  3. Step 3: Cross multiply
    137,120x = 211,899 × 211,899
  4. Step 4: Simplify right side
    137,120x = 44,901,186,201
  5. Step 5: Solve for x
    x = 44,901,186,201/137,120
  6. Step 6: Final answer
    x = 327,459.06

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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.