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Finding the Third Proportional to 71,369 and 153,701

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Solution

The third proportional to 71,369 and 153,701 is: 331,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369 : 153,701 = 153,701 : x
  2. Step 2: Convert to fraction form
    71,369/153,701 = 153,701/x
  3. Step 3: Cross multiply
    71,369x = 153,701 × 153,701
  4. Step 4: Simplify right side
    71,369x = 23,623,997,401
  5. Step 5: Solve for x
    x = 23,623,997,401/71,369
  6. Step 6: Final answer
    x = 331,012.03

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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.