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Finding the Third Proportional to 71,205.75 and 151,614

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Solution

The third proportional to 71,205.75 and 151,614 is: 322,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.75 : 151,614 = 151,614 : x
  2. Step 2: Convert to fraction form
    71,205.75/151,614 = 151,614/x
  3. Step 3: Cross multiply
    71,205.75x = 151,614 × 151,614
  4. Step 4: Simplify right side
    71,205.75x = 22,986,804,996
  5. Step 5: Solve for x
    x = 22,986,804,996/71,205.75
  6. Step 6: Final answer
    x = 322,822.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.