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Finding the Third Proportional to 115,172.75 and 174,370

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Solution

The third proportional to 115,172.75 and 174,370 is: 263,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,172.75 : 174,370 = 174,370 : x
  2. Step 2: Convert to fraction form
    115,172.75/174,370 = 174,370/x
  3. Step 3: Cross multiply
    115,172.75x = 174,370 × 174,370
  4. Step 4: Simplify right side
    115,172.75x = 30,404,896,900
  5. Step 5: Solve for x
    x = 30,404,896,900/115,172.75
  6. Step 6: Final answer
    x = 263,993.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.