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Finding the Third Proportional to 66,597 and 141,671

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Solution

The third proportional to 66,597 and 141,671 is: 301,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,597 : 141,671 = 141,671 : x
  2. Step 2: Convert to fraction form
    66,597/141,671 = 141,671/x
  3. Step 3: Cross multiply
    66,597x = 141,671 × 141,671
  4. Step 4: Simplify right side
    66,597x = 20,070,672,241
  5. Step 5: Solve for x
    x = 20,070,672,241/66,597
  6. Step 6: Final answer
    x = 301,375.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.