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Finding the Third Proportional to 117,926 and 186,728

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Solution

The third proportional to 117,926 and 186,728 is: 295,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,926 : 186,728 = 186,728 : x
  2. Step 2: Convert to fraction form
    117,926/186,728 = 186,728/x
  3. Step 3: Cross multiply
    117,926x = 186,728 × 186,728
  4. Step 4: Simplify right side
    117,926x = 34,867,345,984
  5. Step 5: Solve for x
    x = 34,867,345,984/117,926
  6. Step 6: Final answer
    x = 295,671.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.