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Finding the Third Proportional to 86,558.13 and 129,491.13

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Solution

The third proportional to 86,558.13 and 129,491.13 is: 193,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,558.13 : 129,491.13 = 129,491.13 : x
  2. Step 2: Convert to fraction form
    86,558.13/129,491.13 = 129,491.13/x
  3. Step 3: Cross multiply
    86,558.13x = 129,491.13 × 129,491.13
  4. Step 4: Simplify right side
    86,558.13x = 16,767,951,453.77
  5. Step 5: Solve for x
    x = 16,767,951,453.77/86,558.13
  6. Step 6: Final answer
    x = 193,718.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.