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Finding the Third Proportional to 64,508 and 141,734

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Solution

The third proportional to 64,508 and 141,734 is: 311,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508 : 141,734 = 141,734 : x
  2. Step 2: Convert to fraction form
    64,508/141,734 = 141,734/x
  3. Step 3: Cross multiply
    64,508x = 141,734 × 141,734
  4. Step 4: Simplify right side
    64,508x = 20,088,526,756
  5. Step 5: Solve for x
    x = 20,088,526,756/64,508
  6. Step 6: Final answer
    x = 311,411.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.