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Finding the Third Proportional to 107,726 and 235,036

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Solution

The third proportional to 107,726 and 235,036 is: 512,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,726 : 235,036 = 235,036 : x
  2. Step 2: Convert to fraction form
    107,726/235,036 = 235,036/x
  3. Step 3: Cross multiply
    107,726x = 235,036 × 235,036
  4. Step 4: Simplify right side
    107,726x = 55,241,921,296
  5. Step 5: Solve for x
    x = 55,241,921,296/107,726
  6. Step 6: Final answer
    x = 512,800.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.