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Finding the Third Proportional to 94,004 and 143,984

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Solution

The third proportional to 94,004 and 143,984 is: 220,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,004 : 143,984 = 143,984 : x
  2. Step 2: Convert to fraction form
    94,004/143,984 = 143,984/x
  3. Step 3: Cross multiply
    94,004x = 143,984 × 143,984
  4. Step 4: Simplify right side
    94,004x = 20,731,392,256
  5. Step 5: Solve for x
    x = 20,731,392,256/94,004
  6. Step 6: Final answer
    x = 220,537.34

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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.