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Finding the Third Proportional to 94,475 and 144,224

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Solution

The third proportional to 94,475 and 144,224 is: 220,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,475 : 144,224 = 144,224 : x
  2. Step 2: Convert to fraction form
    94,475/144,224 = 144,224/x
  3. Step 3: Cross multiply
    94,475x = 144,224 × 144,224
  4. Step 4: Simplify right side
    94,475x = 20,800,562,176
  5. Step 5: Solve for x
    x = 20,800,562,176/94,475
  6. Step 6: Final answer
    x = 220,170.02

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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.