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Finding the Third Proportional to 66,597 and 142,671

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Solution

The third proportional to 66,597 and 142,671 is: 305,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,597 : 142,671 = 142,671 : x
  2. Step 2: Convert to fraction form
    66,597/142,671 = 142,671/x
  3. Step 3: Cross multiply
    66,597x = 142,671 × 142,671
  4. Step 4: Simplify right side
    66,597x = 20,355,014,241
  5. Step 5: Solve for x
    x = 20,355,014,241/66,597
  6. Step 6: Final answer
    x = 305,644.61

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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.