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Finding the Third Proportional to 66,354 and 140,484

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Solution

The third proportional to 66,354 and 140,484 is: 297,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354 : 140,484 = 140,484 : x
  2. Step 2: Convert to fraction form
    66,354/140,484 = 140,484/x
  3. Step 3: Cross multiply
    66,354x = 140,484 × 140,484
  4. Step 4: Simplify right side
    66,354x = 19,735,754,256
  5. Step 5: Solve for x
    x = 19,735,754,256/66,354
  6. Step 6: Final answer
    x = 297,431.27

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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.