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Finding the Third Proportional to 71,212 and 111,706

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Solution

The third proportional to 71,212 and 111,706 is: 175,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212 : 111,706 = 111,706 : x
  2. Step 2: Convert to fraction form
    71,212/111,706 = 111,706/x
  3. Step 3: Cross multiply
    71,212x = 111,706 × 111,706
  4. Step 4: Simplify right side
    71,212x = 12,478,230,436
  5. Step 5: Solve for x
    x = 12,478,230,436/71,212
  6. Step 6: Final answer
    x = 175,226.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.