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Finding the Third Proportional to 118,673 and 178,033

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Solution

The third proportional to 118,673 and 178,033 is: 267,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,673 : 178,033 = 178,033 : x
  2. Step 2: Convert to fraction form
    118,673/178,033 = 178,033/x
  3. Step 3: Cross multiply
    118,673x = 178,033 × 178,033
  4. Step 4: Simplify right side
    118,673x = 31,695,749,089
  5. Step 5: Solve for x
    x = 31,695,749,089/118,673
  6. Step 6: Final answer
    x = 267,084.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.