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Finding the Third Proportional to 132,009.50 and 204,507.75

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Solution

The third proportional to 132,009.50 and 204,507.75 is: 316,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009.50 : 204,507.75 = 204,507.75 : x
  2. Step 2: Convert to fraction form
    132,009.50/204,507.75 = 204,507.75/x
  3. Step 3: Cross multiply
    132,009.50x = 204,507.75 × 204,507.75
  4. Step 4: Simplify right side
    132,009.50x = 41,823,419,810.06
  5. Step 5: Solve for x
    x = 41,823,419,810.06/132,009.50
  6. Step 6: Final answer
    x = 316,821.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.