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Finding the Third Proportional to 55,647.50 and 131,231

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Solution

The third proportional to 55,647.50 and 131,231 is: 309,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647.50 : 131,231 = 131,231 : x
  2. Step 2: Convert to fraction form
    55,647.50/131,231 = 131,231/x
  3. Step 3: Cross multiply
    55,647.50x = 131,231 × 131,231
  4. Step 4: Simplify right side
    55,647.50x = 17,221,575,361
  5. Step 5: Solve for x
    x = 17,221,575,361/55,647.50
  6. Step 6: Final answer
    x = 309,476.17

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.