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Finding the Third Proportional to 51,973 and 78,427

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Solution

The third proportional to 51,973 and 78,427 is: 118,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973 : 78,427 = 78,427 : x
  2. Step 2: Convert to fraction form
    51,973/78,427 = 78,427/x
  3. Step 3: Cross multiply
    51,973x = 78,427 × 78,427
  4. Step 4: Simplify right side
    51,973x = 6,150,794,329
  5. Step 5: Solve for x
    x = 6,150,794,329/51,973
  6. Step 6: Final answer
    x = 118,345.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.