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Finding the Third Proportional to 51,984 and 110,169

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Solution

The third proportional to 51,984 and 110,169 is: 233,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984 : 110,169 = 110,169 : x
  2. Step 2: Convert to fraction form
    51,984/110,169 = 110,169/x
  3. Step 3: Cross multiply
    51,984x = 110,169 × 110,169
  4. Step 4: Simplify right side
    51,984x = 12,137,208,561
  5. Step 5: Solve for x
    x = 12,137,208,561/51,984
  6. Step 6: Final answer
    x = 233,479.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.