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Finding the Third Proportional to 47,943 and 102,390

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Solution

The third proportional to 47,943 and 102,390 is: 218,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,943 : 102,390 = 102,390 : x
  2. Step 2: Convert to fraction form
    47,943/102,390 = 102,390/x
  3. Step 3: Cross multiply
    47,943x = 102,390 × 102,390
  4. Step 4: Simplify right side
    47,943x = 10,483,712,100
  5. Step 5: Solve for x
    x = 10,483,712,100/47,943
  6. Step 6: Final answer
    x = 218,670.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.