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Finding the Third Proportional to 44,752 and 95,168

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Solution

The third proportional to 44,752 and 95,168 is: 202,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,752 : 95,168 = 95,168 : x
  2. Step 2: Convert to fraction form
    44,752/95,168 = 95,168/x
  3. Step 3: Cross multiply
    44,752x = 95,168 × 95,168
  4. Step 4: Simplify right side
    44,752x = 9,056,948,224
  5. Step 5: Solve for x
    x = 9,056,948,224/44,752
  6. Step 6: Final answer
    x = 202,380.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.