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Finding the Third Proportional to 115,033.50 and 176,744.25

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Solution

The third proportional to 115,033.50 and 176,744.25 is: 271,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,033.50 : 176,744.25 = 176,744.25 : x
  2. Step 2: Convert to fraction form
    115,033.50/176,744.25 = 176,744.25/x
  3. Step 3: Cross multiply
    115,033.50x = 176,744.25 × 176,744.25
  4. Step 4: Simplify right side
    115,033.50x = 31,238,529,908.06
  5. Step 5: Solve for x
    x = 31,238,529,908.06/115,033.50
  6. Step 6: Final answer
    x = 271,560.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.