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Finding the Third Proportional to 55,846 and 121,733

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Solution

The third proportional to 55,846 and 121,733 is: 265,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846 : 121,733 = 121,733 : x
  2. Step 2: Convert to fraction form
    55,846/121,733 = 121,733/x
  3. Step 3: Cross multiply
    55,846x = 121,733 × 121,733
  4. Step 4: Simplify right side
    55,846x = 14,818,923,289
  5. Step 5: Solve for x
    x = 14,818,923,289/55,846
  6. Step 6: Final answer
    x = 265,353.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.