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Finding the Third Proportional to 48,264 and 102,354

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Solution

The third proportional to 48,264 and 102,354 is: 217,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264 : 102,354 = 102,354 : x
  2. Step 2: Convert to fraction form
    48,264/102,354 = 102,354/x
  3. Step 3: Cross multiply
    48,264x = 102,354 × 102,354
  4. Step 4: Simplify right side
    48,264x = 10,476,341,316
  5. Step 5: Solve for x
    x = 10,476,341,316/48,264
  6. Step 6: Final answer
    x = 217,063.26

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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.