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Finding the Third Proportional to 78,433.88 and 120,004.88

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Solution

The third proportional to 78,433.88 and 120,004.88 is: 183,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,433.88 : 120,004.88 = 120,004.88 : x
  2. Step 2: Convert to fraction form
    78,433.88/120,004.88 = 120,004.88/x
  3. Step 3: Cross multiply
    78,433.88x = 120,004.88 × 120,004.88
  4. Step 4: Simplify right side
    78,433.88x = 14,401,170,023.77
  5. Step 5: Solve for x
    x = 14,401,170,023.77/78,433.88
  6. Step 6: Final answer
    x = 183,609.06

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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.