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Finding the Third Proportional to 80,280 and 119,258

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Solution

The third proportional to 80,280 and 119,258 is: 177,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280 : 119,258 = 119,258 : x
  2. Step 2: Convert to fraction form
    80,280/119,258 = 119,258/x
  3. Step 3: Cross multiply
    80,280x = 119,258 × 119,258
  4. Step 4: Simplify right side
    80,280x = 14,222,470,564
  5. Step 5: Solve for x
    x = 14,222,470,564/80,280
  6. Step 6: Final answer
    x = 177,160.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.