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Finding the Third Proportional to 71,986.50 and 115,011

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Solution

The third proportional to 71,986.50 and 115,011 is: 183,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986.50 : 115,011 = 115,011 : x
  2. Step 2: Convert to fraction form
    71,986.50/115,011 = 115,011/x
  3. Step 3: Cross multiply
    71,986.50x = 115,011 × 115,011
  4. Step 4: Simplify right side
    71,986.50x = 13,227,530,121
  5. Step 5: Solve for x
    x = 13,227,530,121/71,986.50
  6. Step 6: Final answer
    x = 183,750.15

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.