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Finding the Third Proportional to 51,418 and 112,684

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Solution

The third proportional to 51,418 and 112,684 is: 246,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,418 : 112,684 = 112,684 : x
  2. Step 2: Convert to fraction form
    51,418/112,684 = 112,684/x
  3. Step 3: Cross multiply
    51,418x = 112,684 × 112,684
  4. Step 4: Simplify right side
    51,418x = 12,697,683,856
  5. Step 5: Solve for x
    x = 12,697,683,856/51,418
  6. Step 6: Final answer
    x = 246,950.17

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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.