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Finding the Third Proportional to 115,864 and 175,026

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Solution

The third proportional to 115,864 and 175,026 is: 264,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,864 : 175,026 = 175,026 : x
  2. Step 2: Convert to fraction form
    115,864/175,026 = 175,026/x
  3. Step 3: Cross multiply
    115,864x = 175,026 × 175,026
  4. Step 4: Simplify right side
    115,864x = 30,634,100,676
  5. Step 5: Solve for x
    x = 30,634,100,676/115,864
  6. Step 6: Final answer
    x = 264,397.06

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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.