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Finding the Third Proportional to 84,114.70 and 119,974.92

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Solution

The third proportional to 84,114.70 and 119,974.92 is: 171,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.70 : 119,974.92 = 119,974.92 : x
  2. Step 2: Convert to fraction form
    84,114.70/119,974.92 = 119,974.92/x
  3. Step 3: Cross multiply
    84,114.70x = 119,974.92 × 119,974.92
  4. Step 4: Simplify right side
    84,114.70x = 14,393,981,878.91
  5. Step 5: Solve for x
    x = 14,393,981,878.91/84,114.70
  6. Step 6: Final answer
    x = 171,123.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.