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Finding the Third Proportional to 95,752 and 146,220

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Solution

The third proportional to 95,752 and 146,220 is: 223,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,752 : 146,220 = 146,220 : x
  2. Step 2: Convert to fraction form
    95,752/146,220 = 146,220/x
  3. Step 3: Cross multiply
    95,752x = 146,220 × 146,220
  4. Step 4: Simplify right side
    95,752x = 21,380,288,400
  5. Step 5: Solve for x
    x = 21,380,288,400/95,752
  6. Step 6: Final answer
    x = 223,288.17

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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.