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Finding the Third Proportional to 116,420.25 and 177,971.25

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Solution

The third proportional to 116,420.25 and 177,971.25 is: 272,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420.25 : 177,971.25 = 177,971.25 : x
  2. Step 2: Convert to fraction form
    116,420.25/177,971.25 = 177,971.25/x
  3. Step 3: Cross multiply
    116,420.25x = 177,971.25 × 177,971.25
  4. Step 4: Simplify right side
    116,420.25x = 31,673,765,826.56
  5. Step 5: Solve for x
    x = 31,673,765,826.56/116,420.25
  6. Step 6: Final answer
    x = 272,064.06

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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.