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Finding the Third Proportional to 55,712 and 120,302

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Solution

The third proportional to 55,712 and 120,302 is: 259,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,712 : 120,302 = 120,302 : x
  2. Step 2: Convert to fraction form
    55,712/120,302 = 120,302/x
  3. Step 3: Cross multiply
    55,712x = 120,302 × 120,302
  4. Step 4: Simplify right side
    55,712x = 14,472,571,204
  5. Step 5: Solve for x
    x = 14,472,571,204/55,712
  6. Step 6: Final answer
    x = 259,774.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.