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Finding the Third Proportional to 30,213 and 71,088

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Solution

The third proportional to 30,213 and 71,088 is: 167,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 71,088 = 71,088 : x
  2. Step 2: Convert to fraction form
    30,213/71,088 = 71,088/x
  3. Step 3: Cross multiply
    30,213x = 71,088 × 71,088
  4. Step 4: Simplify right side
    30,213x = 5,053,503,744
  5. Step 5: Solve for x
    x = 5,053,503,744/30,213
  6. Step 6: Final answer
    x = 167,262.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.