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Finding the Third Proportional to 67,980.94 and 147,261.38

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Solution

The third proportional to 67,980.94 and 147,261.38 is: 318,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.94 : 147,261.38 = 147,261.38 : x
  2. Step 2: Convert to fraction form
    67,980.94/147,261.38 = 147,261.38/x
  3. Step 3: Cross multiply
    67,980.94x = 147,261.38 × 147,261.38
  4. Step 4: Simplify right side
    67,980.94x = 21,685,912,566.89
  5. Step 5: Solve for x
    x = 21,685,912,566.89/67,980.94
  6. Step 6: Final answer
    x = 318,999.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.