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Finding the Third Proportional to 75,512.25 and 105,851.81

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Solution

The third proportional to 75,512.25 and 105,851.81 is: 148,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,512.25 : 105,851.81 = 105,851.81 : x
  2. Step 2: Convert to fraction form
    75,512.25/105,851.81 = 105,851.81/x
  3. Step 3: Cross multiply
    75,512.25x = 105,851.81 × 105,851.81
  4. Step 4: Simplify right side
    75,512.25x = 11,204,606,209.54
  5. Step 5: Solve for x
    x = 11,204,606,209.54/75,512.25
  6. Step 6: Final answer
    x = 148,381.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.