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Finding the Third Proportional to 135,465.75 and 206,118

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Solution

The third proportional to 135,465.75 and 206,118 is: 313,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.75 : 206,118 = 206,118 : x
  2. Step 2: Convert to fraction form
    135,465.75/206,118 = 206,118/x
  3. Step 3: Cross multiply
    135,465.75x = 206,118 × 206,118
  4. Step 4: Simplify right side
    135,465.75x = 42,484,629,924
  5. Step 5: Solve for x
    x = 42,484,629,924/135,465.75
  6. Step 6: Final answer
    x = 313,618.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.