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Finding the Third Proportional to 46,812 and 101,564

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Solution

The third proportional to 46,812 and 101,564 is: 220,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 101,564 = 101,564 : x
  2. Step 2: Convert to fraction form
    46,812/101,564 = 101,564/x
  3. Step 3: Cross multiply
    46,812x = 101,564 × 101,564
  4. Step 4: Simplify right side
    46,812x = 10,315,246,096
  5. Step 5: Solve for x
    x = 10,315,246,096/46,812
  6. Step 6: Final answer
    x = 220,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.