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Finding the Third Proportional to 118,675 and 178,036

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Solution

The third proportional to 118,675 and 178,036 is: 267,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,675 : 178,036 = 178,036 : x
  2. Step 2: Convert to fraction form
    118,675/178,036 = 178,036/x
  3. Step 3: Cross multiply
    118,675x = 178,036 × 178,036
  4. Step 4: Simplify right side
    118,675x = 31,696,817,296
  5. Step 5: Solve for x
    x = 31,696,817,296/118,675
  6. Step 6: Final answer
    x = 267,089.25

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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.