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Finding the Third Proportional to 51,447 and 77,307

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Solution

The third proportional to 51,447 and 77,307 is: 116,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,447 : 77,307 = 77,307 : x
  2. Step 2: Convert to fraction form
    51,447/77,307 = 77,307/x
  3. Step 3: Cross multiply
    51,447x = 77,307 × 77,307
  4. Step 4: Simplify right side
    51,447x = 5,976,372,249
  5. Step 5: Solve for x
    x = 5,976,372,249/51,447
  6. Step 6: Final answer
    x = 116,165.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.