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Finding the Third Proportional to 48,282 and 102,396

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Solution

The third proportional to 48,282 and 102,396 is: 217,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,282 : 102,396 = 102,396 : x
  2. Step 2: Convert to fraction form
    48,282/102,396 = 102,396/x
  3. Step 3: Cross multiply
    48,282x = 102,396 × 102,396
  4. Step 4: Simplify right side
    48,282x = 10,484,940,816
  5. Step 5: Solve for x
    x = 10,484,940,816/48,282
  6. Step 6: Final answer
    x = 217,160.45

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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.