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Finding the Third Proportional to 81,962 and 128,654

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Solution

The third proportional to 81,962 and 128,654 is: 201,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,962 : 128,654 = 128,654 : x
  2. Step 2: Convert to fraction form
    81,962/128,654 = 128,654/x
  3. Step 3: Cross multiply
    81,962x = 128,654 × 128,654
  4. Step 4: Simplify right side
    81,962x = 16,551,851,716
  5. Step 5: Solve for x
    x = 16,551,851,716/81,962
  6. Step 6: Final answer
    x = 201,945.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.