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Finding the Third Proportional to 136,926 and 186,039

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Solution

The third proportional to 136,926 and 186,039 is: 252,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,926 : 186,039 = 186,039 : x
  2. Step 2: Convert to fraction form
    136,926/186,039 = 186,039/x
  3. Step 3: Cross multiply
    136,926x = 186,039 × 186,039
  4. Step 4: Simplify right side
    136,926x = 34,610,509,521
  5. Step 5: Solve for x
    x = 34,610,509,521/136,926
  6. Step 6: Final answer
    x = 252,767.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.