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Finding the Third Proportional to 47,364 and 102,102

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Solution

The third proportional to 47,364 and 102,102 is: 220,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364 : 102,102 = 102,102 : x
  2. Step 2: Convert to fraction form
    47,364/102,102 = 102,102/x
  3. Step 3: Cross multiply
    47,364x = 102,102 × 102,102
  4. Step 4: Simplify right side
    47,364x = 10,424,818,404
  5. Step 5: Solve for x
    x = 10,424,818,404/47,364
  6. Step 6: Final answer
    x = 220,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.