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Finding the Third Proportional to 48,683 and 106,378

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Solution

The third proportional to 48,683 and 106,378 is: 232,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,683 : 106,378 = 106,378 : x
  2. Step 2: Convert to fraction form
    48,683/106,378 = 106,378/x
  3. Step 3: Cross multiply
    48,683x = 106,378 × 106,378
  4. Step 4: Simplify right side
    48,683x = 11,316,278,884
  5. Step 5: Solve for x
    x = 11,316,278,884/48,683
  6. Step 6: Final answer
    x = 232,448.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.