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Finding the Third Proportional to 49,169 and 75,185

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Solution

The third proportional to 49,169 and 75,185 is: 114,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169 : 75,185 = 75,185 : x
  2. Step 2: Convert to fraction form
    49,169/75,185 = 75,185/x
  3. Step 3: Cross multiply
    49,169x = 75,185 × 75,185
  4. Step 4: Simplify right side
    49,169x = 5,652,784,225
  5. Step 5: Solve for x
    x = 5,652,784,225/49,169
  6. Step 6: Final answer
    x = 114,966.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.