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Finding the Third Proportional to 119,564 and 180,242

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Solution

The third proportional to 119,564 and 180,242 is: 271,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,564 : 180,242 = 180,242 : x
  2. Step 2: Convert to fraction form
    119,564/180,242 = 180,242/x
  3. Step 3: Cross multiply
    119,564x = 180,242 × 180,242
  4. Step 4: Simplify right side
    119,564x = 32,487,178,564
  5. Step 5: Solve for x
    x = 32,487,178,564/119,564
  6. Step 6: Final answer
    x = 271,713.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.