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Finding the Third Proportional to 115,404.75 and 177,140.25

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Solution

The third proportional to 115,404.75 and 177,140.25 is: 271,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,404.75 : 177,140.25 = 177,140.25 : x
  2. Step 2: Convert to fraction form
    115,404.75/177,140.25 = 177,140.25/x
  3. Step 3: Cross multiply
    115,404.75x = 177,140.25 × 177,140.25
  4. Step 4: Simplify right side
    115,404.75x = 31,378,668,170.06
  5. Step 5: Solve for x
    x = 31,378,668,170.06/115,404.75
  6. Step 6: Final answer
    x = 271,901.01

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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.