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Finding the Third Proportional to 75,945.75 and 115,051.13

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Solution

The third proportional to 75,945.75 and 115,051.13 is: 174,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,945.75 : 115,051.13 = 115,051.13 : x
  2. Step 2: Convert to fraction form
    75,945.75/115,051.13 = 115,051.13/x
  3. Step 3: Cross multiply
    75,945.75x = 115,051.13 × 115,051.13
  4. Step 4: Simplify right side
    75,945.75x = 13,236,761,363.77
  5. Step 5: Solve for x
    x = 13,236,761,363.77/75,945.75
  6. Step 6: Final answer
    x = 174,292.33

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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.