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Finding the Third Proportional to 74,139.75 and 114,896.25

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Solution

The third proportional to 74,139.75 and 114,896.25 is: 178,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,139.75 : 114,896.25 = 114,896.25 : x
  2. Step 2: Convert to fraction form
    74,139.75/114,896.25 = 114,896.25/x
  3. Step 3: Cross multiply
    74,139.75x = 114,896.25 × 114,896.25
  4. Step 4: Simplify right side
    74,139.75x = 13,201,148,264.06
  5. Step 5: Solve for x
    x = 13,201,148,264.06/74,139.75
  6. Step 6: Final answer
    x = 178,057.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.