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Finding the Third Proportional to 71,946 and 168,045

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Solution

The third proportional to 71,946 and 168,045 is: 392,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946 : 168,045 = 168,045 : x
  2. Step 2: Convert to fraction form
    71,946/168,045 = 168,045/x
  3. Step 3: Cross multiply
    71,946x = 168,045 × 168,045
  4. Step 4: Simplify right side
    71,946x = 28,239,122,025
  5. Step 5: Solve for x
    x = 28,239,122,025/71,946
  6. Step 6: Final answer
    x = 392,504.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.