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Finding the Third Proportional to 66,249 and 141,969

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Solution

The third proportional to 66,249 and 141,969 is: 304,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,249 : 141,969 = 141,969 : x
  2. Step 2: Convert to fraction form
    66,249/141,969 = 141,969/x
  3. Step 3: Cross multiply
    66,249x = 141,969 × 141,969
  4. Step 4: Simplify right side
    66,249x = 20,155,196,961
  5. Step 5: Solve for x
    x = 20,155,196,961/66,249
  6. Step 6: Final answer
    x = 304,233.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.