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Finding the Third Proportional to 47,532 and 102,083

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Solution

The third proportional to 47,532 and 102,083 is: 219,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532 : 102,083 = 102,083 : x
  2. Step 2: Convert to fraction form
    47,532/102,083 = 102,083/x
  3. Step 3: Cross multiply
    47,532x = 102,083 × 102,083
  4. Step 4: Simplify right side
    47,532x = 10,420,938,889
  5. Step 5: Solve for x
    x = 10,420,938,889/47,532
  6. Step 6: Final answer
    x = 219,240.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.