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Finding the Third Proportional to 47,307 and 73,248

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Solution

The third proportional to 47,307 and 73,248 is: 113,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307 : 73,248 = 73,248 : x
  2. Step 2: Convert to fraction form
    47,307/73,248 = 73,248/x
  3. Step 3: Cross multiply
    47,307x = 73,248 × 73,248
  4. Step 4: Simplify right side
    47,307x = 5,365,269,504
  5. Step 5: Solve for x
    x = 5,365,269,504/47,307
  6. Step 6: Final answer
    x = 113,413.86

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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.