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Finding the Third Proportional to 46,548 and 71,199

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Solution

The third proportional to 46,548 and 71,199 is: 108,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,548 : 71,199 = 71,199 : x
  2. Step 2: Convert to fraction form
    46,548/71,199 = 71,199/x
  3. Step 3: Cross multiply
    46,548x = 71,199 × 71,199
  4. Step 4: Simplify right side
    46,548x = 5,069,297,601
  5. Step 5: Solve for x
    x = 5,069,297,601/46,548
  6. Step 6: Final answer
    x = 108,904.73

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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.