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Finding the Third Proportional to 65,103.75 and 142,672.50

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Solution

The third proportional to 65,103.75 and 142,672.50 is: 312,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.75 : 142,672.50 = 142,672.50 : x
  2. Step 2: Convert to fraction form
    65,103.75/142,672.50 = 142,672.50/x
  3. Step 3: Cross multiply
    65,103.75x = 142,672.50 × 142,672.50
  4. Step 4: Simplify right side
    65,103.75x = 20,355,442,256.25
  5. Step 5: Solve for x
    x = 20,355,442,256.25/65,103.75
  6. Step 6: Final answer
    x = 312,661.59

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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.