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Finding the Third Proportional to 73,404 and 102,137

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Solution

The third proportional to 73,404 and 102,137 is: 142,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,404 : 102,137 = 102,137 : x
  2. Step 2: Convert to fraction form
    73,404/102,137 = 102,137/x
  3. Step 3: Cross multiply
    73,404x = 102,137 × 102,137
  4. Step 4: Simplify right side
    73,404x = 10,431,966,769
  5. Step 5: Solve for x
    x = 10,431,966,769/73,404
  6. Step 6: Final answer
    x = 142,117.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.