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Finding the Third Proportional to 57,406 and 121,641

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Solution

The third proportional to 57,406 and 121,641 is: 257,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406 : 121,641 = 121,641 : x
  2. Step 2: Convert to fraction form
    57,406/121,641 = 121,641/x
  3. Step 3: Cross multiply
    57,406x = 121,641 × 121,641
  4. Step 4: Simplify right side
    57,406x = 14,796,532,881
  5. Step 5: Solve for x
    x = 14,796,532,881/57,406
  6. Step 6: Final answer
    x = 257,752.38

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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.