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Finding the Third Proportional to 114,137.06 and 177,422.25

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Solution

The third proportional to 114,137.06 and 177,422.25 is: 275,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,137.06 : 177,422.25 = 177,422.25 : x
  2. Step 2: Convert to fraction form
    114,137.06/177,422.25 = 177,422.25/x
  3. Step 3: Cross multiply
    114,137.06x = 177,422.25 × 177,422.25
  4. Step 4: Simplify right side
    114,137.06x = 31,478,654,795.06
  5. Step 5: Solve for x
    x = 31,478,654,795.06/114,137.06
  6. Step 6: Final answer
    x = 275,796.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.