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Finding the Third Proportional to 71,492 and 156,322

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Solution

The third proportional to 71,492 and 156,322 is: 341,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492 : 156,322 = 156,322 : x
  2. Step 2: Convert to fraction form
    71,492/156,322 = 156,322/x
  3. Step 3: Cross multiply
    71,492x = 156,322 × 156,322
  4. Step 4: Simplify right side
    71,492x = 24,436,567,684
  5. Step 5: Solve for x
    x = 24,436,567,684/71,492
  6. Step 6: Final answer
    x = 341,808.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.