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Finding the Third Proportional to 71,696 and 104,464

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Solution

The third proportional to 71,696 and 104,464 is: 152,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696 : 104,464 = 104,464 : x
  2. Step 2: Convert to fraction form
    71,696/104,464 = 104,464/x
  3. Step 3: Cross multiply
    71,696x = 104,464 × 104,464
  4. Step 4: Simplify right side
    71,696x = 10,912,727,296
  5. Step 5: Solve for x
    x = 10,912,727,296/71,696
  6. Step 6: Final answer
    x = 152,208.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.