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Finding the Third Proportional to 75,579.64 and 111,639.52

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Solution

The third proportional to 75,579.64 and 111,639.52 is: 164,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579.64 : 111,639.52 = 111,639.52 : x
  2. Step 2: Convert to fraction form
    75,579.64/111,639.52 = 111,639.52/x
  3. Step 3: Cross multiply
    75,579.64x = 111,639.52 × 111,639.52
  4. Step 4: Simplify right side
    75,579.64x = 12,463,381,448.98
  5. Step 5: Solve for x
    x = 12,463,381,448.98/75,579.64
  6. Step 6: Final answer
    x = 164,903.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.