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Finding the Third Proportional to 89,722 and 139,317

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Solution

The third proportional to 89,722 and 139,317 is: 216,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,722 : 139,317 = 139,317 : x
  2. Step 2: Convert to fraction form
    89,722/139,317 = 139,317/x
  3. Step 3: Cross multiply
    89,722x = 139,317 × 139,317
  4. Step 4: Simplify right side
    89,722x = 19,409,226,489
  5. Step 5: Solve for x
    x = 19,409,226,489/89,722
  6. Step 6: Final answer
    x = 216,326.28

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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.