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Finding the Third Proportional to 46,230.75 and 74,251.69

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Solution

The third proportional to 46,230.75 and 74,251.69 is: 119,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,230.75 : 74,251.69 = 74,251.69 : x
  2. Step 2: Convert to fraction form
    46,230.75/74,251.69 = 74,251.69/x
  3. Step 3: Cross multiply
    46,230.75x = 74,251.69 × 74,251.69
  4. Step 4: Simplify right side
    46,230.75x = 5,513,313,096.60
  5. Step 5: Solve for x
    x = 5,513,313,096.60/46,230.75
  6. Step 6: Final answer
    x = 119,256.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.