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Finding the Third Proportional to 94,784 and 144,224

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Solution

The third proportional to 94,784 and 144,224 is: 219,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,784 : 144,224 = 144,224 : x
  2. Step 2: Convert to fraction form
    94,784/144,224 = 144,224/x
  3. Step 3: Cross multiply
    94,784x = 144,224 × 144,224
  4. Step 4: Simplify right side
    94,784x = 20,800,562,176
  5. Step 5: Solve for x
    x = 20,800,562,176/94,784
  6. Step 6: Final answer
    x = 219,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.