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Finding the Third Proportional to 51,384 and 111,040

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Solution

The third proportional to 51,384 and 111,040 is: 239,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384 : 111,040 = 111,040 : x
  2. Step 2: Convert to fraction form
    51,384/111,040 = 111,040/x
  3. Step 3: Cross multiply
    51,384x = 111,040 × 111,040
  4. Step 4: Simplify right side
    51,384x = 12,329,881,600
  5. Step 5: Solve for x
    x = 12,329,881,600/51,384
  6. Step 6: Final answer
    x = 239,955.66

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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.