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Finding the Third Proportional to 59,184 and 128,224

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Solution

The third proportional to 59,184 and 128,224 is: 277,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,184 : 128,224 = 128,224 : x
  2. Step 2: Convert to fraction form
    59,184/128,224 = 128,224/x
  3. Step 3: Cross multiply
    59,184x = 128,224 × 128,224
  4. Step 4: Simplify right side
    59,184x = 16,441,394,176
  5. Step 5: Solve for x
    x = 16,441,394,176/59,184
  6. Step 6: Final answer
    x = 277,801.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.