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Finding the Third Proportional to 68,155 and 139,707

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Solution

The third proportional to 68,155 and 139,707 is: 286,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155 : 139,707 = 139,707 : x
  2. Step 2: Convert to fraction form
    68,155/139,707 = 139,707/x
  3. Step 3: Cross multiply
    68,155x = 139,707 × 139,707
  4. Step 4: Simplify right side
    68,155x = 19,518,045,849
  5. Step 5: Solve for x
    x = 19,518,045,849/68,155
  6. Step 6: Final answer
    x = 286,377.31

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.