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Finding the Third Proportional to 73,381.50 and 86,665.50

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Solution

The third proportional to 73,381.50 and 86,665.50 is: 102,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,381.50 : 86,665.50 = 86,665.50 : x
  2. Step 2: Convert to fraction form
    73,381.50/86,665.50 = 86,665.50/x
  3. Step 3: Cross multiply
    73,381.50x = 86,665.50 × 86,665.50
  4. Step 4: Simplify right side
    73,381.50x = 7,510,908,890.25
  5. Step 5: Solve for x
    x = 7,510,908,890.25/73,381.50
  6. Step 6: Final answer
    x = 102,354.26

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.