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Finding the Third Proportional to 65,140.75 and 142,751

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Solution

The third proportional to 65,140.75 and 142,751 is: 312,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.75 : 142,751 = 142,751 : x
  2. Step 2: Convert to fraction form
    65,140.75/142,751 = 142,751/x
  3. Step 3: Cross multiply
    65,140.75x = 142,751 × 142,751
  4. Step 4: Simplify right side
    65,140.75x = 20,377,848,001
  5. Step 5: Solve for x
    x = 20,377,848,001/65,140.75
  6. Step 6: Final answer
    x = 312,827.96

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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.