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Finding the Third Proportional to 71,450 and 161,614

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Solution

The third proportional to 71,450 and 161,614 is: 365,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450 : 161,614 = 161,614 : x
  2. Step 2: Convert to fraction form
    71,450/161,614 = 161,614/x
  3. Step 3: Cross multiply
    71,450x = 161,614 × 161,614
  4. Step 4: Simplify right side
    71,450x = 26,119,084,996
  5. Step 5: Solve for x
    x = 26,119,084,996/71,450
  6. Step 6: Final answer
    x = 365,557.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.