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Finding the Third Proportional to 115,674.75 and 174,970.13

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Solution

The third proportional to 115,674.75 and 174,970.13 is: 264,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,674.75 : 174,970.13 = 174,970.13 : x
  2. Step 2: Convert to fraction form
    115,674.75/174,970.13 = 174,970.13/x
  3. Step 3: Cross multiply
    115,674.75x = 174,970.13 × 174,970.13
  4. Step 4: Simplify right side
    115,674.75x = 30,614,544,642.52
  5. Step 5: Solve for x
    x = 30,614,544,642.52/115,674.75
  6. Step 6: Final answer
    x = 264,660.56

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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.