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Finding the Third Proportional to 51,984 and 80,640

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Solution

The third proportional to 51,984 and 80,640 is: 125,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984 : 80,640 = 80,640 : x
  2. Step 2: Convert to fraction form
    51,984/80,640 = 80,640/x
  3. Step 3: Cross multiply
    51,984x = 80,640 × 80,640
  4. Step 4: Simplify right side
    51,984x = 6,502,809,600
  5. Step 5: Solve for x
    x = 6,502,809,600/51,984
  6. Step 6: Final answer
    x = 125,092.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.