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Finding the Third Proportional to 135,970 and 211,062

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Solution

The third proportional to 135,970 and 211,062 is: 327,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,970 : 211,062 = 211,062 : x
  2. Step 2: Convert to fraction form
    135,970/211,062 = 211,062/x
  3. Step 3: Cross multiply
    135,970x = 211,062 × 211,062
  4. Step 4: Simplify right side
    135,970x = 44,547,167,844
  5. Step 5: Solve for x
    x = 44,547,167,844/135,970
  6. Step 6: Final answer
    x = 327,624.97

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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.