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Finding the Third Proportional to 104,544 and 159,272

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Solution

The third proportional to 104,544 and 159,272 is: 242,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,544 : 159,272 = 159,272 : x
  2. Step 2: Convert to fraction form
    104,544/159,272 = 159,272/x
  3. Step 3: Cross multiply
    104,544x = 159,272 × 159,272
  4. Step 4: Simplify right side
    104,544x = 25,367,569,984
  5. Step 5: Solve for x
    x = 25,367,569,984/104,544
  6. Step 6: Final answer
    x = 242,649.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.