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Finding the Third Proportional to 45,158 and 70,322

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Solution

The third proportional to 45,158 and 70,322 is: 109,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 70,322 = 70,322 : x
  2. Step 2: Convert to fraction form
    45,158/70,322 = 70,322/x
  3. Step 3: Cross multiply
    45,158x = 70,322 × 70,322
  4. Step 4: Simplify right side
    45,158x = 4,945,183,684
  5. Step 5: Solve for x
    x = 4,945,183,684/45,158
  6. Step 6: Final answer
    x = 109,508.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.