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Finding the Third Proportional to 135,592 and 205,140

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Solution

The third proportional to 135,592 and 205,140 is: 310,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,592 : 205,140 = 205,140 : x
  2. Step 2: Convert to fraction form
    135,592/205,140 = 205,140/x
  3. Step 3: Cross multiply
    135,592x = 205,140 × 205,140
  4. Step 4: Simplify right side
    135,592x = 42,082,419,600
  5. Step 5: Solve for x
    x = 42,082,419,600/135,592
  6. Step 6: Final answer
    x = 310,360.64

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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.