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Finding the Third Proportional to 48,354 and 102,514

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Solution

The third proportional to 48,354 and 102,514 is: 217,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354 : 102,514 = 102,514 : x
  2. Step 2: Convert to fraction form
    48,354/102,514 = 102,514/x
  3. Step 3: Cross multiply
    48,354x = 102,514 × 102,514
  4. Step 4: Simplify right side
    48,354x = 10,509,120,196
  5. Step 5: Solve for x
    x = 10,509,120,196/48,354
  6. Step 6: Final answer
    x = 217,337.14

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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.