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Finding the Third Proportional to 100,039.64 and 152,600.20

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Solution

The third proportional to 100,039.64 and 152,600.20 is: 232,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.64 : 152,600.20 = 152,600.20 : x
  2. Step 2: Convert to fraction form
    100,039.64/152,600.20 = 152,600.20/x
  3. Step 3: Cross multiply
    100,039.64x = 152,600.20 × 152,600.20
  4. Step 4: Simplify right side
    100,039.64x = 23,286,821,993.79
  5. Step 5: Solve for x
    x = 23,286,821,993.79/100,039.64
  6. Step 6: Final answer
    x = 232,775.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.