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Finding the Third Proportional to 116,714 and 177,987

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Solution

The third proportional to 116,714 and 177,987 is: 271,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714 : 177,987 = 177,987 : x
  2. Step 2: Convert to fraction form
    116,714/177,987 = 177,987/x
  3. Step 3: Cross multiply
    116,714x = 177,987 × 177,987
  4. Step 4: Simplify right side
    116,714x = 31,679,372,169
  5. Step 5: Solve for x
    x = 31,679,372,169/116,714
  6. Step 6: Final answer
    x = 271,427.35

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Why These Related Problems?

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