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Finding the Third Proportional to 115,980 and 177,714

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Solution

The third proportional to 115,980 and 177,714 is: 272,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,980 : 177,714 = 177,714 : x
  2. Step 2: Convert to fraction form
    115,980/177,714 = 177,714/x
  3. Step 3: Cross multiply
    115,980x = 177,714 × 177,714
  4. Step 4: Simplify right side
    115,980x = 31,582,265,796
  5. Step 5: Solve for x
    x = 31,582,265,796/115,980
  6. Step 6: Final answer
    x = 272,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.