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Finding the Third Proportional to 66,478 and 142,296

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Solution

The third proportional to 66,478 and 142,296 is: 304,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,478 : 142,296 = 142,296 : x
  2. Step 2: Convert to fraction form
    66,478/142,296 = 142,296/x
  3. Step 3: Cross multiply
    66,478x = 142,296 × 142,296
  4. Step 4: Simplify right side
    66,478x = 20,248,151,616
  5. Step 5: Solve for x
    x = 20,248,151,616/66,478
  6. Step 6: Final answer
    x = 304,584.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.