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Finding the Third Proportional to 75,732 and 156,392

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Solution

The third proportional to 75,732 and 156,392 is: 322,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732 : 156,392 = 156,392 : x
  2. Step 2: Convert to fraction form
    75,732/156,392 = 156,392/x
  3. Step 3: Cross multiply
    75,732x = 156,392 × 156,392
  4. Step 4: Simplify right side
    75,732x = 24,458,457,664
  5. Step 5: Solve for x
    x = 24,458,457,664/75,732
  6. Step 6: Final answer
    x = 322,960.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.