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Finding the Third Proportional to 72,786 and 111,122

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Solution

The third proportional to 72,786 and 111,122 is: 169,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786 : 111,122 = 111,122 : x
  2. Step 2: Convert to fraction form
    72,786/111,122 = 111,122/x
  3. Step 3: Cross multiply
    72,786x = 111,122 × 111,122
  4. Step 4: Simplify right side
    72,786x = 12,348,098,884
  5. Step 5: Solve for x
    x = 12,348,098,884/72,786
  6. Step 6: Final answer
    x = 169,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.