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Finding the Third Proportional to 71,402 and 107,049

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Solution

The third proportional to 71,402 and 107,049 is: 160,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,402 : 107,049 = 107,049 : x
  2. Step 2: Convert to fraction form
    71,402/107,049 = 107,049/x
  3. Step 3: Cross multiply
    71,402x = 107,049 × 107,049
  4. Step 4: Simplify right side
    71,402x = 11,459,488,401
  5. Step 5: Solve for x
    x = 11,459,488,401/71,402
  6. Step 6: Final answer
    x = 160,492.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.