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Finding the Third Proportional to 56,886 and 121,996

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Solution

The third proportional to 56,886 and 121,996 is: 261,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,886 : 121,996 = 121,996 : x
  2. Step 2: Convert to fraction form
    56,886/121,996 = 121,996/x
  3. Step 3: Cross multiply
    56,886x = 121,996 × 121,996
  4. Step 4: Simplify right side
    56,886x = 14,883,024,016
  5. Step 5: Solve for x
    x = 14,883,024,016/56,886
  6. Step 6: Final answer
    x = 261,628.94

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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.