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Finding the Third Proportional to 78,962 and 161,614

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Solution

The third proportional to 78,962 and 161,614 is: 330,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,962 : 161,614 = 161,614 : x
  2. Step 2: Convert to fraction form
    78,962/161,614 = 161,614/x
  3. Step 3: Cross multiply
    78,962x = 161,614 × 161,614
  4. Step 4: Simplify right side
    78,962x = 26,119,084,996
  5. Step 5: Solve for x
    x = 26,119,084,996/78,962
  6. Step 6: Final answer
    x = 330,780.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.