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Finding the Third Proportional to 56,971.50 and 124,665

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Solution

The third proportional to 56,971.50 and 124,665 is: 272,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.50 : 124,665 = 124,665 : x
  2. Step 2: Convert to fraction form
    56,971.50/124,665 = 124,665/x
  3. Step 3: Cross multiply
    56,971.50x = 124,665 × 124,665
  4. Step 4: Simplify right side
    56,971.50x = 15,541,362,225
  5. Step 5: Solve for x
    x = 15,541,362,225/56,971.50
  6. Step 6: Final answer
    x = 272,791.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.