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Finding the Third Proportional to 86,082 and 121,008.50

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Solution

The third proportional to 86,082 and 121,008.50 is: 170,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,082 : 121,008.50 = 121,008.50 : x
  2. Step 2: Convert to fraction form
    86,082/121,008.50 = 121,008.50/x
  3. Step 3: Cross multiply
    86,082x = 121,008.50 × 121,008.50
  4. Step 4: Simplify right side
    86,082x = 14,643,057,072.25
  5. Step 5: Solve for x
    x = 14,643,057,072.25/86,082
  6. Step 6: Final answer
    x = 170,105.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.