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Finding the Third Proportional to 147,781.97 and 210,601.27

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Solution

The third proportional to 147,781.97 and 210,601.27 is: 300,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,781.97 : 210,601.27 = 210,601.27 : x
  2. Step 2: Convert to fraction form
    147,781.97/210,601.27 = 210,601.27/x
  3. Step 3: Cross multiply
    147,781.97x = 210,601.27 × 210,601.27
  4. Step 4: Simplify right side
    147,781.97x = 44,352,893,082.85
  5. Step 5: Solve for x
    x = 44,352,893,082.85/147,781.97
  6. Step 6: Final answer
    x = 300,123.85

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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.