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Finding the Third Proportional to 71,527 and 153,962

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Solution

The third proportional to 71,527 and 153,962 is: 331,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527 : 153,962 = 153,962 : x
  2. Step 2: Convert to fraction form
    71,527/153,962 = 153,962/x
  3. Step 3: Cross multiply
    71,527x = 153,962 × 153,962
  4. Step 4: Simplify right side
    71,527x = 23,704,297,444
  5. Step 5: Solve for x
    x = 23,704,297,444/71,527
  6. Step 6: Final answer
    x = 331,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.