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Finding the Third Proportional to 115,726 and 174,831

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Solution

The third proportional to 115,726 and 174,831 is: 264,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726 : 174,831 = 174,831 : x
  2. Step 2: Convert to fraction form
    115,726/174,831 = 174,831/x
  3. Step 3: Cross multiply
    115,726x = 174,831 × 174,831
  4. Step 4: Simplify right side
    115,726x = 30,565,878,561
  5. Step 5: Solve for x
    x = 30,565,878,561/115,726
  6. Step 6: Final answer
    x = 264,122.83

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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.