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Finding the Third Proportional to 57,341 and 121,648

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Solution

The third proportional to 57,341 and 121,648 is: 258,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,341 : 121,648 = 121,648 : x
  2. Step 2: Convert to fraction form
    57,341/121,648 = 121,648/x
  3. Step 3: Cross multiply
    57,341x = 121,648 × 121,648
  4. Step 4: Simplify right side
    57,341x = 14,798,235,904
  5. Step 5: Solve for x
    x = 14,798,235,904/57,341
  6. Step 6: Final answer
    x = 258,074.26

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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.