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Finding the Third Proportional to 46,542 and 100,464

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Solution

The third proportional to 46,542 and 100,464 is: 216,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,542 : 100,464 = 100,464 : x
  2. Step 2: Convert to fraction form
    46,542/100,464 = 100,464/x
  3. Step 3: Cross multiply
    46,542x = 100,464 × 100,464
  4. Step 4: Simplify right side
    46,542x = 10,093,015,296
  5. Step 5: Solve for x
    x = 10,093,015,296/46,542
  6. Step 6: Final answer
    x = 216,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.