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Finding the Third Proportional to 66,598 and 142,672

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Solution

The third proportional to 66,598 and 142,672 is: 305,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,598 : 142,672 = 142,672 : x
  2. Step 2: Convert to fraction form
    66,598/142,672 = 142,672/x
  3. Step 3: Cross multiply
    66,598x = 142,672 × 142,672
  4. Step 4: Simplify right side
    66,598x = 20,355,299,584
  5. Step 5: Solve for x
    x = 20,355,299,584/66,598
  6. Step 6: Final answer
    x = 305,644.31

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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.