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Finding the Third Proportional to 55,713 and 116,019

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Solution

The third proportional to 55,713 and 116,019 is: 241,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713 : 116,019 = 116,019 : x
  2. Step 2: Convert to fraction form
    55,713/116,019 = 116,019/x
  3. Step 3: Cross multiply
    55,713x = 116,019 × 116,019
  4. Step 4: Simplify right side
    55,713x = 13,460,408,361
  5. Step 5: Solve for x
    x = 13,460,408,361/55,713
  6. Step 6: Final answer
    x = 241,602.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.