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Finding the Third Proportional to 65,091 and 135,365.25

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Solution

The third proportional to 65,091 and 135,365.25 is: 281,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,091 : 135,365.25 = 135,365.25 : x
  2. Step 2: Convert to fraction form
    65,091/135,365.25 = 135,365.25/x
  3. Step 3: Cross multiply
    65,091x = 135,365.25 × 135,365.25
  4. Step 4: Simplify right side
    65,091x = 18,323,750,907.56
  5. Step 5: Solve for x
    x = 18,323,750,907.56/65,091
  6. Step 6: Final answer
    x = 281,509.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.