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Finding the Third Proportional to 85,454 and 132,659.75

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Solution

The third proportional to 85,454 and 132,659.75 is: 205,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454 : 132,659.75 = 132,659.75 : x
  2. Step 2: Convert to fraction form
    85,454/132,659.75 = 132,659.75/x
  3. Step 3: Cross multiply
    85,454x = 132,659.75 × 132,659.75
  4. Step 4: Simplify right side
    85,454x = 17,598,609,270.06
  5. Step 5: Solve for x
    x = 17,598,609,270.06/85,454
  6. Step 6: Final answer
    x = 205,942.49

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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.