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Finding the Third Proportional to 34,104 and 72,946

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Solution

The third proportional to 34,104 and 72,946 is: 156,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,104 : 72,946 = 72,946 : x
  2. Step 2: Convert to fraction form
    34,104/72,946 = 72,946/x
  3. Step 3: Cross multiply
    34,104x = 72,946 × 72,946
  4. Step 4: Simplify right side
    34,104x = 5,321,118,916
  5. Step 5: Solve for x
    x = 5,321,118,916/34,104
  6. Step 6: Final answer
    x = 156,026.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.