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Finding the Third Proportional to 55,361 and 112,360

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Solution

The third proportional to 55,361 and 112,360 is: 228,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,361 : 112,360 = 112,360 : x
  2. Step 2: Convert to fraction form
    55,361/112,360 = 112,360/x
  3. Step 3: Cross multiply
    55,361x = 112,360 × 112,360
  4. Step 4: Simplify right side
    55,361x = 12,624,769,600
  5. Step 5: Solve for x
    x = 12,624,769,600/55,361
  6. Step 6: Final answer
    x = 228,044.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.