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Finding the Third Proportional to 35,775 and 78,714

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Solution

The third proportional to 35,775 and 78,714 is: 173,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775 : 78,714 = 78,714 : x
  2. Step 2: Convert to fraction form
    35,775/78,714 = 78,714/x
  3. Step 3: Cross multiply
    35,775x = 78,714 × 78,714
  4. Step 4: Simplify right side
    35,775x = 6,195,893,796
  5. Step 5: Solve for x
    x = 6,195,893,796/35,775
  6. Step 6: Final answer
    x = 173,190.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.