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Finding the Third Proportional to 75,456.75 and 105,750.75

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Solution

The third proportional to 75,456.75 and 105,750.75 is: 148,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456.75 : 105,750.75 = 105,750.75 : x
  2. Step 2: Convert to fraction form
    75,456.75/105,750.75 = 105,750.75/x
  3. Step 3: Cross multiply
    75,456.75x = 105,750.75 × 105,750.75
  4. Step 4: Simplify right side
    75,456.75x = 11,183,221,125.56
  5. Step 5: Solve for x
    x = 11,183,221,125.56/75,456.75
  6. Step 6: Final answer
    x = 148,207.03

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