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Finding the Third Proportional to 136,500.25 and 206,659.88

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Solution

The third proportional to 136,500.25 and 206,659.88 is: 312,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,500.25 : 206,659.88 = 206,659.88 : x
  2. Step 2: Convert to fraction form
    136,500.25/206,659.88 = 206,659.88/x
  3. Step 3: Cross multiply
    136,500.25x = 206,659.88 × 206,659.88
  4. Step 4: Simplify right side
    136,500.25x = 42,708,303,935.02
  5. Step 5: Solve for x
    x = 42,708,303,935.02/136,500.25
  6. Step 6: Final answer
    x = 312,880.77

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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.