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Finding the Third Proportional to 35,143 and 76,523

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Solution

The third proportional to 35,143 and 76,523 is: 166,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,143 : 76,523 = 76,523 : x
  2. Step 2: Convert to fraction form
    35,143/76,523 = 76,523/x
  3. Step 3: Cross multiply
    35,143x = 76,523 × 76,523
  4. Step 4: Simplify right side
    35,143x = 5,855,769,529
  5. Step 5: Solve for x
    x = 5,855,769,529/35,143
  6. Step 6: Final answer
    x = 166,626.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.