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Finding the Third Proportional to 85,159.16 and 179,137.51

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Solution

The third proportional to 85,159.16 and 179,137.51 is: 376,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,159.16 : 179,137.51 = 179,137.51 : x
  2. Step 2: Convert to fraction form
    85,159.16/179,137.51 = 179,137.51/x
  3. Step 3: Cross multiply
    85,159.16x = 179,137.51 × 179,137.51
  4. Step 4: Simplify right side
    85,159.16x = 32,090,248,104.79
  5. Step 5: Solve for x
    x = 32,090,248,104.79/85,159.16
  6. Step 6: Final answer
    x = 376,826.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.