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Finding the Third Proportional to 137,765 and 207,660

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Solution

The third proportional to 137,765 and 207,660 is: 313,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,765 : 207,660 = 207,660 : x
  2. Step 2: Convert to fraction form
    137,765/207,660 = 207,660/x
  3. Step 3: Cross multiply
    137,765x = 207,660 × 207,660
  4. Step 4: Simplify right side
    137,765x = 43,122,675,600
  5. Step 5: Solve for x
    x = 43,122,675,600/137,765
  6. Step 6: Final answer
    x = 313,016.19

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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.