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Finding the Third Proportional to 71,060.25 and 151,967.25

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Solution

The third proportional to 71,060.25 and 151,967.25 is: 324,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,060.25 : 151,967.25 = 151,967.25 : x
  2. Step 2: Convert to fraction form
    71,060.25/151,967.25 = 151,967.25/x
  3. Step 3: Cross multiply
    71,060.25x = 151,967.25 × 151,967.25
  4. Step 4: Simplify right side
    71,060.25x = 23,094,045,072.56
  5. Step 5: Solve for x
    x = 23,094,045,072.56/71,060.25
  6. Step 6: Final answer
    x = 324,992.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.