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Finding the Third Proportional to 79,472 and 120,018

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Solution

The third proportional to 79,472 and 120,018 is: 181,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,472 : 120,018 = 120,018 : x
  2. Step 2: Convert to fraction form
    79,472/120,018 = 120,018/x
  3. Step 3: Cross multiply
    79,472x = 120,018 × 120,018
  4. Step 4: Simplify right side
    79,472x = 14,404,320,324
  5. Step 5: Solve for x
    x = 14,404,320,324/79,472
  6. Step 6: Final answer
    x = 181,250.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.