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Finding the Third Proportional to 75,534.75 and 105,885.56

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Solution

The third proportional to 75,534.75 and 105,885.56 is: 148,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534.75 : 105,885.56 = 105,885.56 : x
  2. Step 2: Convert to fraction form
    75,534.75/105,885.56 = 105,885.56/x
  3. Step 3: Cross multiply
    75,534.75x = 105,885.56 × 105,885.56
  4. Step 4: Simplify right side
    75,534.75x = 11,211,752,345.94
  5. Step 5: Solve for x
    x = 11,211,752,345.94/75,534.75
  6. Step 6: Final answer
    x = 148,431.71

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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.