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Finding the Third Proportional to 75,945 and 115,050

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Solution

The third proportional to 75,945 and 115,050 is: 174,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,945 : 115,050 = 115,050 : x
  2. Step 2: Convert to fraction form
    75,945/115,050 = 115,050/x
  3. Step 3: Cross multiply
    75,945x = 115,050 × 115,050
  4. Step 4: Simplify right side
    75,945x = 13,236,502,500
  5. Step 5: Solve for x
    x = 13,236,502,500/75,945
  6. Step 6: Final answer
    x = 174,290.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.