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Finding the Third Proportional to 75,426.75 and 103,900.50

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Solution

The third proportional to 75,426.75 and 103,900.50 is: 143,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426.75 : 103,900.50 = 103,900.50 : x
  2. Step 2: Convert to fraction form
    75,426.75/103,900.50 = 103,900.50/x
  3. Step 3: Cross multiply
    75,426.75x = 103,900.50 × 103,900.50
  4. Step 4: Simplify right side
    75,426.75x = 10,795,313,900.25
  5. Step 5: Solve for x
    x = 10,795,313,900.25/75,426.75
  6. Step 6: Final answer
    x = 143,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.