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Finding the Third Proportional to 81,598.50 and 124,825.50

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Solution

The third proportional to 81,598.50 and 124,825.50 is: 190,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.50 : 124,825.50 = 124,825.50 : x
  2. Step 2: Convert to fraction form
    81,598.50/124,825.50 = 124,825.50/x
  3. Step 3: Cross multiply
    81,598.50x = 124,825.50 × 124,825.50
  4. Step 4: Simplify right side
    81,598.50x = 15,581,405,450.25
  5. Step 5: Solve for x
    x = 15,581,405,450.25/81,598.50
  6. Step 6: Final answer
    x = 190,952.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.