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Finding the Third Proportional to 117,450 and 157,329

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Solution

The third proportional to 117,450 and 157,329 is: 210,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,450 : 157,329 = 157,329 : x
  2. Step 2: Convert to fraction form
    117,450/157,329 = 157,329/x
  3. Step 3: Cross multiply
    117,450x = 157,329 × 157,329
  4. Step 4: Simplify right side
    117,450x = 24,752,414,241
  5. Step 5: Solve for x
    x = 24,752,414,241/117,450
  6. Step 6: Final answer
    x = 210,748.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.