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Finding the Third Proportional to 71,431 and 153,611

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Solution

The third proportional to 71,431 and 153,611 is: 330,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431 : 153,611 = 153,611 : x
  2. Step 2: Convert to fraction form
    71,431/153,611 = 153,611/x
  3. Step 3: Cross multiply
    71,431x = 153,611 × 153,611
  4. Step 4: Simplify right side
    71,431x = 23,596,339,321
  5. Step 5: Solve for x
    x = 23,596,339,321/71,431
  6. Step 6: Final answer
    x = 330,337.52

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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.