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Finding the Third Proportional to 47,378 and 102,046

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Solution

The third proportional to 47,378 and 102,046 is: 219,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378 : 102,046 = 102,046 : x
  2. Step 2: Convert to fraction form
    47,378/102,046 = 102,046/x
  3. Step 3: Cross multiply
    47,378x = 102,046 × 102,046
  4. Step 4: Simplify right side
    47,378x = 10,413,386,116
  5. Step 5: Solve for x
    x = 10,413,386,116/47,378
  6. Step 6: Final answer
    x = 219,793.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.