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Finding the Third Proportional to 48,294 and 102,384

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Solution

The third proportional to 48,294 and 102,384 is: 217,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294 : 102,384 = 102,384 : x
  2. Step 2: Convert to fraction form
    48,294/102,384 = 102,384/x
  3. Step 3: Cross multiply
    48,294x = 102,384 × 102,384
  4. Step 4: Simplify right side
    48,294x = 10,482,483,456
  5. Step 5: Solve for x
    x = 10,482,483,456/48,294
  6. Step 6: Final answer
    x = 217,055.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.