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Finding the Third Proportional to 88,145 and 180,983

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Solution

The third proportional to 88,145 and 180,983 is: 371,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,145 : 180,983 = 180,983 : x
  2. Step 2: Convert to fraction form
    88,145/180,983 = 180,983/x
  3. Step 3: Cross multiply
    88,145x = 180,983 × 180,983
  4. Step 4: Simplify right side
    88,145x = 32,754,846,289
  5. Step 5: Solve for x
    x = 32,754,846,289/88,145
  6. Step 6: Final answer
    x = 371,601.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.