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Finding the Third Proportional to 137,068 and 207,059

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Solution

The third proportional to 137,068 and 207,059 is: 312,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,068 : 207,059 = 207,059 : x
  2. Step 2: Convert to fraction form
    137,068/207,059 = 207,059/x
  3. Step 3: Cross multiply
    137,068x = 207,059 × 207,059
  4. Step 4: Simplify right side
    137,068x = 42,873,429,481
  5. Step 5: Solve for x
    x = 42,873,429,481/137,068
  6. Step 6: Final answer
    x = 312,789.49

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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.