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Finding the Third Proportional to 84,123 and 185,319

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Solution

The third proportional to 84,123 and 185,319 is: 408,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123 : 185,319 = 185,319 : x
  2. Step 2: Convert to fraction form
    84,123/185,319 = 185,319/x
  3. Step 3: Cross multiply
    84,123x = 185,319 × 185,319
  4. Step 4: Simplify right side
    84,123x = 34,343,131,761
  5. Step 5: Solve for x
    x = 34,343,131,761/84,123
  6. Step 6: Final answer
    x = 408,249.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.