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Finding the Third Proportional to 135,086 and 312,726

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Solution

The third proportional to 135,086 and 312,726 is: 723,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,086 : 312,726 = 312,726 : x
  2. Step 2: Convert to fraction form
    135,086/312,726 = 312,726/x
  3. Step 3: Cross multiply
    135,086x = 312,726 × 312,726
  4. Step 4: Simplify right side
    135,086x = 97,797,551,076
  5. Step 5: Solve for x
    x = 97,797,551,076/135,086
  6. Step 6: Final answer
    x = 723,965.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.