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Finding the Third Proportional to 47,378 and 102,346

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Solution

The third proportional to 47,378 and 102,346 is: 221,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378 : 102,346 = 102,346 : x
  2. Step 2: Convert to fraction form
    47,378/102,346 = 102,346/x
  3. Step 3: Cross multiply
    47,378x = 102,346 × 102,346
  4. Step 4: Simplify right side
    47,378x = 10,474,703,716
  5. Step 5: Solve for x
    x = 10,474,703,716/47,378
  6. Step 6: Final answer
    x = 221,087.93

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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.