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Finding the Third Proportional to 71,765 and 155,012

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Solution

The third proportional to 71,765 and 155,012 is: 334,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765 : 155,012 = 155,012 : x
  2. Step 2: Convert to fraction form
    71,765/155,012 = 155,012/x
  3. Step 3: Cross multiply
    71,765x = 155,012 × 155,012
  4. Step 4: Simplify right side
    71,765x = 24,028,720,144
  5. Step 5: Solve for x
    x = 24,028,720,144/71,765
  6. Step 6: Final answer
    x = 334,825.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.