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Finding the Third Proportional to 66,456 and 143,347

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Solution

The third proportional to 66,456 and 143,347 is: 309,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,456 : 143,347 = 143,347 : x
  2. Step 2: Convert to fraction form
    66,456/143,347 = 143,347/x
  3. Step 3: Cross multiply
    66,456x = 143,347 × 143,347
  4. Step 4: Simplify right side
    66,456x = 20,548,362,409
  5. Step 5: Solve for x
    x = 20,548,362,409/66,456
  6. Step 6: Final answer
    x = 309,202.52

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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.