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Finding the Third Proportional to 91,958 and 136,212

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Solution

The third proportional to 91,958 and 136,212 is: 201,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,958 : 136,212 = 136,212 : x
  2. Step 2: Convert to fraction form
    91,958/136,212 = 136,212/x
  3. Step 3: Cross multiply
    91,958x = 136,212 × 136,212
  4. Step 4: Simplify right side
    91,958x = 18,553,708,944
  5. Step 5: Solve for x
    x = 18,553,708,944/91,958
  6. Step 6: Final answer
    x = 201,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.