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Finding the Third Proportional to 107,007.75 and 253,063.41

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Solution

The third proportional to 107,007.75 and 253,063.41 is: 598,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007.75 : 253,063.41 = 253,063.41 : x
  2. Step 2: Convert to fraction form
    107,007.75/253,063.41 = 253,063.41/x
  3. Step 3: Cross multiply
    107,007.75x = 253,063.41 × 253,063.41
  4. Step 4: Simplify right side
    107,007.75x = 64,041,087,582.85
  5. Step 5: Solve for x
    x = 64,041,087,582.85/107,007.75
  6. Step 6: Final answer
    x = 598,471.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.