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Finding the Third Proportional to 75,562.88 and 105,912.56

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Solution

The third proportional to 75,562.88 and 105,912.56 is: 148,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562.88 : 105,912.56 = 105,912.56 : x
  2. Step 2: Convert to fraction form
    75,562.88/105,912.56 = 105,912.56/x
  3. Step 3: Cross multiply
    75,562.88x = 105,912.56 × 105,912.56
  4. Step 4: Simplify right side
    75,562.88x = 11,217,470,895.32
  5. Step 5: Solve for x
    x = 11,217,470,895.32/75,562.88
  6. Step 6: Final answer
    x = 148,452.15

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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.