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Finding the Third Proportional to 34,402 and 75,366

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Solution

The third proportional to 34,402 and 75,366 is: 165,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402 : 75,366 = 75,366 : x
  2. Step 2: Convert to fraction form
    34,402/75,366 = 75,366/x
  3. Step 3: Cross multiply
    34,402x = 75,366 × 75,366
  4. Step 4: Simplify right side
    34,402x = 5,680,033,956
  5. Step 5: Solve for x
    x = 5,680,033,956/34,402
  6. Step 6: Final answer
    x = 165,107.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.