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Finding the Third Proportional to 131,285 and 144,820

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Solution

The third proportional to 131,285 and 144,820 is: 159,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,285 : 144,820 = 144,820 : x
  2. Step 2: Convert to fraction form
    131,285/144,820 = 144,820/x
  3. Step 3: Cross multiply
    131,285x = 144,820 × 144,820
  4. Step 4: Simplify right side
    131,285x = 20,972,832,400
  5. Step 5: Solve for x
    x = 20,972,832,400/131,285
  6. Step 6: Final answer
    x = 159,750.41

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.