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Finding the Third Proportional to 30,194 and 65,011

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Solution

The third proportional to 30,194 and 65,011 is: 139,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194 : 65,011 = 65,011 : x
  2. Step 2: Convert to fraction form
    30,194/65,011 = 65,011/x
  3. Step 3: Cross multiply
    30,194x = 65,011 × 65,011
  4. Step 4: Simplify right side
    30,194x = 4,226,430,121
  5. Step 5: Solve for x
    x = 4,226,430,121/30,194
  6. Step 6: Final answer
    x = 139,975.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.