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Finding the Third Proportional to 142,107.75 and 310,961.25

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Solution

The third proportional to 142,107.75 and 310,961.25 is: 680,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107.75 : 310,961.25 = 310,961.25 : x
  2. Step 2: Convert to fraction form
    142,107.75/310,961.25 = 310,961.25/x
  3. Step 3: Cross multiply
    142,107.75x = 310,961.25 × 310,961.25
  4. Step 4: Simplify right side
    142,107.75x = 96,696,899,001.56
  5. Step 5: Solve for x
    x = 96,696,899,001.56/142,107.75
  6. Step 6: Final answer
    x = 680,447.75

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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.