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Finding the Third Proportional to 66,468 and 141,144

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Solution

The third proportional to 66,468 and 141,144 is: 299,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468 : 141,144 = 141,144 : x
  2. Step 2: Convert to fraction form
    66,468/141,144 = 141,144/x
  3. Step 3: Cross multiply
    66,468x = 141,144 × 141,144
  4. Step 4: Simplify right side
    66,468x = 19,921,628,736
  5. Step 5: Solve for x
    x = 19,921,628,736/66,468
  6. Step 6: Final answer
    x = 299,717.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.