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Finding the Third Proportional to 137,124 and 207,147

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Solution

The third proportional to 137,124 and 207,147 is: 312,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,124 : 207,147 = 207,147 : x
  2. Step 2: Convert to fraction form
    137,124/207,147 = 207,147/x
  3. Step 3: Cross multiply
    137,124x = 207,147 × 207,147
  4. Step 4: Simplify right side
    137,124x = 42,909,879,609
  5. Step 5: Solve for x
    x = 42,909,879,609/137,124
  6. Step 6: Final answer
    x = 312,927.57

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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.