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Finding the Third Proportional to 43,210 and 70,556

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Solution

The third proportional to 43,210 and 70,556 is: 115,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210 : 70,556 = 70,556 : x
  2. Step 2: Convert to fraction form
    43,210/70,556 = 70,556/x
  3. Step 3: Cross multiply
    43,210x = 70,556 × 70,556
  4. Step 4: Simplify right side
    43,210x = 4,978,149,136
  5. Step 5: Solve for x
    x = 4,978,149,136/43,210
  6. Step 6: Final answer
    x = 115,208.27

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.