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Finding the Third Proportional to 48,356 and 102,518

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Solution

The third proportional to 48,356 and 102,518 is: 217,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,356 : 102,518 = 102,518 : x
  2. Step 2: Convert to fraction form
    48,356/102,518 = 102,518/x
  3. Step 3: Cross multiply
    48,356x = 102,518 × 102,518
  4. Step 4: Simplify right side
    48,356x = 10,509,940,324
  5. Step 5: Solve for x
    x = 10,509,940,324/48,356
  6. Step 6: Final answer
    x = 217,345.11

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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.