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Finding the Third Proportional to 66,184 and 144,268

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Solution

The third proportional to 66,184 and 144,268 is: 314,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,184 : 144,268 = 144,268 : x
  2. Step 2: Convert to fraction form
    66,184/144,268 = 144,268/x
  3. Step 3: Cross multiply
    66,184x = 144,268 × 144,268
  4. Step 4: Simplify right side
    66,184x = 20,813,255,824
  5. Step 5: Solve for x
    x = 20,813,255,824/66,184
  6. Step 6: Final answer
    x = 314,475.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.