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Finding the Third Proportional to 46,307 and 71,749

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Solution

The third proportional to 46,307 and 71,749 is: 111,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,307 : 71,749 = 71,749 : x
  2. Step 2: Convert to fraction form
    46,307/71,749 = 71,749/x
  3. Step 3: Cross multiply
    46,307x = 71,749 × 71,749
  4. Step 4: Simplify right side
    46,307x = 5,147,919,001
  5. Step 5: Solve for x
    x = 5,147,919,001/46,307
  6. Step 6: Final answer
    x = 111,169.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.