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Finding the Third Proportional to 71,236 and 152,354

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Solution

The third proportional to 71,236 and 152,354 is: 325,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236 : 152,354 = 152,354 : x
  2. Step 2: Convert to fraction form
    71,236/152,354 = 152,354/x
  3. Step 3: Cross multiply
    71,236x = 152,354 × 152,354
  4. Step 4: Simplify right side
    71,236x = 23,211,741,316
  5. Step 5: Solve for x
    x = 23,211,741,316/71,236
  6. Step 6: Final answer
    x = 325,842.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.