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Finding the Third Proportional to 118,550 and 180,262

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Solution

The third proportional to 118,550 and 180,262 is: 274,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,550 : 180,262 = 180,262 : x
  2. Step 2: Convert to fraction form
    118,550/180,262 = 180,262/x
  3. Step 3: Cross multiply
    118,550x = 180,262 × 180,262
  4. Step 4: Simplify right side
    118,550x = 32,494,388,644
  5. Step 5: Solve for x
    x = 32,494,388,644/118,550
  6. Step 6: Final answer
    x = 274,098.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.