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Finding the Third Proportional to 56,676 and 121,128

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Solution

The third proportional to 56,676 and 121,128 is: 258,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676 : 121,128 = 121,128 : x
  2. Step 2: Convert to fraction form
    56,676/121,128 = 121,128/x
  3. Step 3: Cross multiply
    56,676x = 121,128 × 121,128
  4. Step 4: Simplify right side
    56,676x = 14,671,992,384
  5. Step 5: Solve for x
    x = 14,671,992,384/56,676
  6. Step 6: Final answer
    x = 258,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.