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Finding the Third Proportional to 66,480.75 and 143,532

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Solution

The third proportional to 66,480.75 and 143,532 is: 309,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480.75 : 143,532 = 143,532 : x
  2. Step 2: Convert to fraction form
    66,480.75/143,532 = 143,532/x
  3. Step 3: Cross multiply
    66,480.75x = 143,532 × 143,532
  4. Step 4: Simplify right side
    66,480.75x = 20,601,435,024
  5. Step 5: Solve for x
    x = 20,601,435,024/66,480.75
  6. Step 6: Final answer
    x = 309,885.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.