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Finding the Third Proportional to 93,992 and 143,964

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Solution

The third proportional to 93,992 and 143,964 is: 220,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,992 : 143,964 = 143,964 : x
  2. Step 2: Convert to fraction form
    93,992/143,964 = 143,964/x
  3. Step 3: Cross multiply
    93,992x = 143,964 × 143,964
  4. Step 4: Simplify right side
    93,992x = 20,725,633,296
  5. Step 5: Solve for x
    x = 20,725,633,296/93,992
  6. Step 6: Final answer
    x = 220,504.23

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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.