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Finding the Third Proportional to 137,134 and 207,162

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Solution

The third proportional to 137,134 and 207,162 is: 312,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,134 : 207,162 = 207,162 : x
  2. Step 2: Convert to fraction form
    137,134/207,162 = 207,162/x
  3. Step 3: Cross multiply
    137,134x = 207,162 × 207,162
  4. Step 4: Simplify right side
    137,134x = 42,916,094,244
  5. Step 5: Solve for x
    x = 42,916,094,244/137,134
  6. Step 6: Final answer
    x = 312,950.07

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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.