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Finding the Third Proportional to 66,274 and 142,434

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Solution

The third proportional to 66,274 and 142,434 is: 306,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,274 : 142,434 = 142,434 : x
  2. Step 2: Convert to fraction form
    66,274/142,434 = 142,434/x
  3. Step 3: Cross multiply
    66,274x = 142,434 × 142,434
  4. Step 4: Simplify right side
    66,274x = 20,287,444,356
  5. Step 5: Solve for x
    x = 20,287,444,356/66,274
  6. Step 6: Final answer
    x = 306,114.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.