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Finding the Third Proportional to 45,314 and 105,354

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Solution

The third proportional to 45,314 and 105,354 is: 244,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314 : 105,354 = 105,354 : x
  2. Step 2: Convert to fraction form
    45,314/105,354 = 105,354/x
  3. Step 3: Cross multiply
    45,314x = 105,354 × 105,354
  4. Step 4: Simplify right side
    45,314x = 11,099,465,316
  5. Step 5: Solve for x
    x = 11,099,465,316/45,314
  6. Step 6: Final answer
    x = 244,945.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.