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Finding the Third Proportional to 118,026 and 180,630

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Solution

The third proportional to 118,026 and 180,630 is: 276,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,026 : 180,630 = 180,630 : x
  2. Step 2: Convert to fraction form
    118,026/180,630 = 180,630/x
  3. Step 3: Cross multiply
    118,026x = 180,630 × 180,630
  4. Step 4: Simplify right side
    118,026x = 32,627,196,900
  5. Step 5: Solve for x
    x = 32,627,196,900/118,026
  6. Step 6: Final answer
    x = 276,440.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.