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Finding the Third Proportional to 45,158 and 99,068

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Solution

The third proportional to 45,158 and 99,068 is: 217,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 99,068 = 99,068 : x
  2. Step 2: Convert to fraction form
    45,158/99,068 = 99,068/x
  3. Step 3: Cross multiply
    45,158x = 99,068 × 99,068
  4. Step 4: Simplify right side
    45,158x = 9,814,468,624
  5. Step 5: Solve for x
    x = 9,814,468,624/45,158
  6. Step 6: Final answer
    x = 217,336.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.