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Finding the Third Proportional to 73,402 and 102,134

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Solution

The third proportional to 73,402 and 102,134 is: 142,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,402 : 102,134 = 102,134 : x
  2. Step 2: Convert to fraction form
    73,402/102,134 = 102,134/x
  3. Step 3: Cross multiply
    73,402x = 102,134 × 102,134
  4. Step 4: Simplify right side
    73,402x = 10,431,353,956
  5. Step 5: Solve for x
    x = 10,431,353,956/73,402
  6. Step 6: Final answer
    x = 142,112.67

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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.