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Finding the Third Proportional to 47,943 and 102,036

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Solution

The third proportional to 47,943 and 102,036 is: 217,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,943 : 102,036 = 102,036 : x
  2. Step 2: Convert to fraction form
    47,943/102,036 = 102,036/x
  3. Step 3: Cross multiply
    47,943x = 102,036 × 102,036
  4. Step 4: Simplify right side
    47,943x = 10,411,345,296
  5. Step 5: Solve for x
    x = 10,411,345,296/47,943
  6. Step 6: Final answer
    x = 217,160.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.