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Finding the Third Proportional to 93,722 and 143,367

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Solution

The third proportional to 93,722 and 143,367 is: 219,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,722 : 143,367 = 143,367 : x
  2. Step 2: Convert to fraction form
    93,722/143,367 = 143,367/x
  3. Step 3: Cross multiply
    93,722x = 143,367 × 143,367
  4. Step 4: Simplify right side
    93,722x = 20,554,096,689
  5. Step 5: Solve for x
    x = 20,554,096,689/93,722
  6. Step 6: Final answer
    x = 219,309.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.