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Finding the Third Proportional to 49,416 and 102,102

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Solution

The third proportional to 49,416 and 102,102 is: 210,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 102,102 = 102,102 : x
  2. Step 2: Convert to fraction form
    49,416/102,102 = 102,102/x
  3. Step 3: Cross multiply
    49,416x = 102,102 × 102,102
  4. Step 4: Simplify right side
    49,416x = 10,424,818,404
  5. Step 5: Solve for x
    x = 10,424,818,404/49,416
  6. Step 6: Final answer
    x = 210,960.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.