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Finding the Third Proportional to 71,306 and 106,736

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Solution

The third proportional to 71,306 and 106,736 is: 159,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306 : 106,736 = 106,736 : x
  2. Step 2: Convert to fraction form
    71,306/106,736 = 106,736/x
  3. Step 3: Cross multiply
    71,306x = 106,736 × 106,736
  4. Step 4: Simplify right side
    71,306x = 11,392,573,696
  5. Step 5: Solve for x
    x = 11,392,573,696/71,306
  6. Step 6: Final answer
    x = 159,770.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.