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Finding the Third Proportional to 51,942 and 77,973

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Solution

The third proportional to 51,942 and 77,973 is: 117,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,942 : 77,973 = 77,973 : x
  2. Step 2: Convert to fraction form
    51,942/77,973 = 77,973/x
  3. Step 3: Cross multiply
    51,942x = 77,973 × 77,973
  4. Step 4: Simplify right side
    51,942x = 6,079,788,729
  5. Step 5: Solve for x
    x = 6,079,788,729/51,942
  6. Step 6: Final answer
    x = 117,049.57

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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.