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Finding the Third Proportional to 57,445 and 121,514

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Solution

The third proportional to 57,445 and 121,514 is: 257,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,445 : 121,514 = 121,514 : x
  2. Step 2: Convert to fraction form
    57,445/121,514 = 121,514/x
  3. Step 3: Cross multiply
    57,445x = 121,514 × 121,514
  4. Step 4: Simplify right side
    57,445x = 14,765,652,196
  5. Step 5: Solve for x
    x = 14,765,652,196/57,445
  6. Step 6: Final answer
    x = 257,039.82

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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.