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Finding the Third Proportional to 89,862 and 139,716

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Solution

The third proportional to 89,862 and 139,716 is: 217,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,862 : 139,716 = 139,716 : x
  2. Step 2: Convert to fraction form
    89,862/139,716 = 139,716/x
  3. Step 3: Cross multiply
    89,862x = 139,716 × 139,716
  4. Step 4: Simplify right side
    89,862x = 19,520,560,656
  5. Step 5: Solve for x
    x = 19,520,560,656/89,862
  6. Step 6: Final answer
    x = 217,228.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.