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Finding the Third Proportional to 118,674 and 178,035

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Solution

The third proportional to 118,674 and 178,035 is: 267,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,674 : 178,035 = 178,035 : x
  2. Step 2: Convert to fraction form
    118,674/178,035 = 178,035/x
  3. Step 3: Cross multiply
    118,674x = 178,035 × 178,035
  4. Step 4: Simplify right side
    118,674x = 31,696,461,225
  5. Step 5: Solve for x
    x = 31,696,461,225/118,674
  6. Step 6: Final answer
    x = 267,088.50

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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.