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Finding the Third Proportional to 66,610 and 141,698

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Solution

The third proportional to 66,610 and 141,698 is: 301,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,610 : 141,698 = 141,698 : x
  2. Step 2: Convert to fraction form
    66,610/141,698 = 141,698/x
  3. Step 3: Cross multiply
    66,610x = 141,698 × 141,698
  4. Step 4: Simplify right side
    66,610x = 20,078,323,204
  5. Step 5: Solve for x
    x = 20,078,323,204/66,610
  6. Step 6: Final answer
    x = 301,431.06

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