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Finding the Third Proportional to 75,562.88 and 158,380.31

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Solution

The third proportional to 75,562.88 and 158,380.31 is: 331,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562.88 : 158,380.31 = 158,380.31 : x
  2. Step 2: Convert to fraction form
    75,562.88/158,380.31 = 158,380.31/x
  3. Step 3: Cross multiply
    75,562.88x = 158,380.31 × 158,380.31
  4. Step 4: Simplify right side
    75,562.88x = 25,084,323,387.60
  5. Step 5: Solve for x
    x = 25,084,323,387.60/75,562.88
  6. Step 6: Final answer
    x = 331,966.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.