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Finding the Third Proportional to 80,282 and 119,261

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Solution

The third proportional to 80,282 and 119,261 is: 177,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,282 : 119,261 = 119,261 : x
  2. Step 2: Convert to fraction form
    80,282/119,261 = 119,261/x
  3. Step 3: Cross multiply
    80,282x = 119,261 × 119,261
  4. Step 4: Simplify right side
    80,282x = 14,223,186,121
  5. Step 5: Solve for x
    x = 14,223,186,121/80,282
  6. Step 6: Final answer
    x = 177,165.32

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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.