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Finding the Third Proportional to 137,974 and 207,768

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Solution

The third proportional to 137,974 and 207,768 is: 312,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974 : 207,768 = 207,768 : x
  2. Step 2: Convert to fraction form
    137,974/207,768 = 207,768/x
  3. Step 3: Cross multiply
    137,974x = 207,768 × 207,768
  4. Step 4: Simplify right side
    137,974x = 43,167,541,824
  5. Step 5: Solve for x
    x = 43,167,541,824/137,974
  6. Step 6: Final answer
    x = 312,867.22

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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.