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Finding the Third Proportional to 46,568 and 98,656

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Solution

The third proportional to 46,568 and 98,656 is: 209,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,568 : 98,656 = 98,656 : x
  2. Step 2: Convert to fraction form
    46,568/98,656 = 98,656/x
  3. Step 3: Cross multiply
    46,568x = 98,656 × 98,656
  4. Step 4: Simplify right side
    46,568x = 9,733,006,336
  5. Step 5: Solve for x
    x = 9,733,006,336/46,568
  6. Step 6: Final answer
    x = 209,006.32

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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.