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Finding the Third Proportional to 46,520 and 71,176

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Solution

The third proportional to 46,520 and 71,176 is: 108,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,520 : 71,176 = 71,176 : x
  2. Step 2: Convert to fraction form
    46,520/71,176 = 71,176/x
  3. Step 3: Cross multiply
    46,520x = 71,176 × 71,176
  4. Step 4: Simplify right side
    46,520x = 5,066,022,976
  5. Step 5: Solve for x
    x = 5,066,022,976/46,520
  6. Step 6: Final answer
    x = 108,899.89

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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.