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Finding the Third Proportional to 45,446 and 93,156

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Solution

The third proportional to 45,446 and 93,156 is: 190,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446 : 93,156 = 93,156 : x
  2. Step 2: Convert to fraction form
    45,446/93,156 = 93,156/x
  3. Step 3: Cross multiply
    45,446x = 93,156 × 93,156
  4. Step 4: Simplify right side
    45,446x = 8,678,040,336
  5. Step 5: Solve for x
    x = 8,678,040,336/45,446
  6. Step 6: Final answer
    x = 190,952.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.