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Finding the Third Proportional to 96,984 and 144,018

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Solution

The third proportional to 96,984 and 144,018 is: 213,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 144,018 = 144,018 : x
  2. Step 2: Convert to fraction form
    96,984/144,018 = 144,018/x
  3. Step 3: Cross multiply
    96,984x = 144,018 × 144,018
  4. Step 4: Simplify right side
    96,984x = 20,741,184,324
  5. Step 5: Solve for x
    x = 20,741,184,324/96,984
  6. Step 6: Final answer
    x = 213,861.92

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