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Finding the Third Proportional to 46,963 and 101,755

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Solution

The third proportional to 46,963 and 101,755 is: 220,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963 : 101,755 = 101,755 : x
  2. Step 2: Convert to fraction form
    46,963/101,755 = 101,755/x
  3. Step 3: Cross multiply
    46,963x = 101,755 × 101,755
  4. Step 4: Simplify right side
    46,963x = 10,354,080,025
  5. Step 5: Solve for x
    x = 10,354,080,025/46,963
  6. Step 6: Final answer
    x = 220,473.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.