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Finding the Third Proportional to 65,342.81 and 96,100.31

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Solution

The third proportional to 65,342.81 and 96,100.31 is: 141,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.81 : 96,100.31 = 96,100.31 : x
  2. Step 2: Convert to fraction form
    65,342.81/96,100.31 = 96,100.31/x
  3. Step 3: Cross multiply
    65,342.81x = 96,100.31 × 96,100.31
  4. Step 4: Simplify right side
    65,342.81x = 9,235,270,062.60
  5. Step 5: Solve for x
    x = 9,235,270,062.60/65,342.81
  6. Step 6: Final answer
    x = 141,335.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.