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Finding the Third Proportional to 89,111 and 129,653

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Solution

The third proportional to 89,111 and 129,653 is: 188,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,111 : 129,653 = 129,653 : x
  2. Step 2: Convert to fraction form
    89,111/129,653 = 129,653/x
  3. Step 3: Cross multiply
    89,111x = 129,653 × 129,653
  4. Step 4: Simplify right side
    89,111x = 16,809,900,409
  5. Step 5: Solve for x
    x = 16,809,900,409/89,111
  6. Step 6: Final answer
    x = 188,640.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.