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Finding the Third Proportional to 113,742 and 172,179

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Solution

The third proportional to 113,742 and 172,179 is: 260,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,742 : 172,179 = 172,179 : x
  2. Step 2: Convert to fraction form
    113,742/172,179 = 172,179/x
  3. Step 3: Cross multiply
    113,742x = 172,179 × 172,179
  4. Step 4: Simplify right side
    113,742x = 29,645,608,041
  5. Step 5: Solve for x
    x = 29,645,608,041/113,742
  6. Step 6: Final answer
    x = 260,639.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.