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Finding the Third Proportional to 75,243.25 and 156,714.25

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Solution

The third proportional to 75,243.25 and 156,714.25 is: 326,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243.25 : 156,714.25 = 156,714.25 : x
  2. Step 2: Convert to fraction form
    75,243.25/156,714.25 = 156,714.25/x
  3. Step 3: Cross multiply
    75,243.25x = 156,714.25 × 156,714.25
  4. Step 4: Simplify right side
    75,243.25x = 24,559,356,153.06
  5. Step 5: Solve for x
    x = 24,559,356,153.06/75,243.25
  6. Step 6: Final answer
    x = 326,399.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.