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Finding the Third Proportional to 66,517.88 and 140,528.25

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Solution

The third proportional to 66,517.88 and 140,528.25 is: 296,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517.88 : 140,528.25 = 140,528.25 : x
  2. Step 2: Convert to fraction form
    66,517.88/140,528.25 = 140,528.25/x
  3. Step 3: Cross multiply
    66,517.88x = 140,528.25 × 140,528.25
  4. Step 4: Simplify right side
    66,517.88x = 19,748,189,048.06
  5. Step 5: Solve for x
    x = 19,748,189,048.06/66,517.88
  6. Step 6: Final answer
    x = 296,885.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.