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Finding the Third Proportional to 114,639 and 185,719

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Solution

The third proportional to 114,639 and 185,719 is: 300,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,639 : 185,719 = 185,719 : x
  2. Step 2: Convert to fraction form
    114,639/185,719 = 185,719/x
  3. Step 3: Cross multiply
    114,639x = 185,719 × 185,719
  4. Step 4: Simplify right side
    114,639x = 34,491,546,961
  5. Step 5: Solve for x
    x = 34,491,546,961/114,639
  6. Step 6: Final answer
    x = 300,870.97

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.