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Finding the Third Proportional to 65,321.44 and 142,534.69

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Solution

The third proportional to 65,321.44 and 142,534.69 is: 311,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.44 : 142,534.69 = 142,534.69 : x
  2. Step 2: Convert to fraction form
    65,321.44/142,534.69 = 142,534.69/x
  3. Step 3: Cross multiply
    65,321.44x = 142,534.69 × 142,534.69
  4. Step 4: Simplify right side
    65,321.44x = 20,316,137,140.72
  5. Step 5: Solve for x
    x = 20,316,137,140.72/65,321.44
  6. Step 6: Final answer
    x = 311,017.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.