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Finding the Third Proportional to 57,434 and 121,826

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Solution

The third proportional to 57,434 and 121,826 is: 258,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434 : 121,826 = 121,826 : x
  2. Step 2: Convert to fraction form
    57,434/121,826 = 121,826/x
  3. Step 3: Cross multiply
    57,434x = 121,826 × 121,826
  4. Step 4: Simplify right side
    57,434x = 14,841,574,276
  5. Step 5: Solve for x
    x = 14,841,574,276/57,434
  6. Step 6: Final answer
    x = 258,410.95

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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.