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Finding the Third Proportional to 137,175 and 205,761

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Solution

The third proportional to 137,175 and 205,761 is: 308,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175 : 205,761 = 205,761 : x
  2. Step 2: Convert to fraction form
    137,175/205,761 = 205,761/x
  3. Step 3: Cross multiply
    137,175x = 205,761 × 205,761
  4. Step 4: Simplify right side
    137,175x = 42,337,589,121
  5. Step 5: Solve for x
    x = 42,337,589,121/137,175
  6. Step 6: Final answer
    x = 308,639.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.