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Finding the Third Proportional to 94,482 and 144,469.13

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Solution

The third proportional to 94,482 and 144,469.13 is: 220,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,482 : 144,469.13 = 144,469.13 : x
  2. Step 2: Convert to fraction form
    94,482/144,469.13 = 144,469.13/x
  3. Step 3: Cross multiply
    94,482x = 144,469.13 × 144,469.13
  4. Step 4: Simplify right side
    94,482x = 20,871,328,078.27
  5. Step 5: Solve for x
    x = 20,871,328,078.27/94,482
  6. Step 6: Final answer
    x = 220,902.69

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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.