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Finding the Third Proportional to 62,612 and 93,945

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Solution

The third proportional to 62,612 and 93,945 is: 140,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,612 : 93,945 = 93,945 : x
  2. Step 2: Convert to fraction form
    62,612/93,945 = 93,945/x
  3. Step 3: Cross multiply
    62,612x = 93,945 × 93,945
  4. Step 4: Simplify right side
    62,612x = 8,825,663,025
  5. Step 5: Solve for x
    x = 8,825,663,025/62,612
  6. Step 6: Final answer
    x = 140,958.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.