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Finding the Third Proportional to 65,538.75 and 98,632.13

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Solution

The third proportional to 65,538.75 and 98,632.13 is: 148,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,538.75 : 98,632.13 = 98,632.13 : x
  2. Step 2: Convert to fraction form
    65,538.75/98,632.13 = 98,632.13/x
  3. Step 3: Cross multiply
    65,538.75x = 98,632.13 × 98,632.13
  4. Step 4: Simplify right side
    65,538.75x = 9,728,296,082.02
  5. Step 5: Solve for x
    x = 9,728,296,082.02/65,538.75
  6. Step 6: Final answer
    x = 148,435.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.